Gomi Kiyonori 五味清紀

… Alternative Names

GOMI Kiyonori 五味清紀

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Researcher Number	00543109
Affiliation (Current)	2025: 東京科学大学, 理学院, 教授
Affiliation (based on the past Project Information) *help	2019 – 2023: 東京工業大学, 理学院, 教授 2014 – 2019: 信州大学, 学術研究院理学系, 准教授 2015: 信州大学, 理学部, 准教授 2011 – 2013: 信州大学, 理学部, 准教授 2010: Kyoto University, 大学院・理学研究科, 准教授 2010: 京都大学, 理学研究科, 准教授 2009: Kyoto University, 理学研究科, 特定准教授(GCOE)
Review Section/Research Field	Principal Investigator Geometry / Basic Section 11020:Geometry-related Except Principal Investigator Science and Engineering / Geometry
Keywords	Principal Investigator 四元数ベクトル束 / トポロジカル相 / Weyl半金属 / 同変コホモロジー / 位相的T双対 / K理論 / トポロジカル絶縁体 / 位相的絶縁体 / Ｋ理論 / gerbe … More / Chern-Simons理論 / 位相的量子場の理論 / バルク境界対応 / Atiyah-Hirzebruchスペクトル系列 / 微分KO理論 / FKMM不変量 / ``実''ベクトル束 / Riemann-Roch公式 / KR理論 / 不定値内積 / Landauハミルトニアン / 非可換磁場ポテンシャル / 特性類 / ベクトル束 / 位相的K理論 / Hermite一般ベクトル束 / 実ベクトル束 / 位相的Ｔ双対 / カイラルベクトル束 / ＦＫＭＭ不変量 / 「四元数」ベクトル束 / 「実」ベクトル束 / ねじれＫ理論 / differential K-theory / twisted K-theory / 幾何的量子化 … More Except Principal Investigator ゲージ理論 / Wilson-Dirac作用素 / スペクトル切断 / K群 / Bott周期性 / トポロジー / ドメインウォール / 格子指数定理 / バルクエッジ対応 / 指数定理 / フレアーホモロジー / シンプレクティック多様体 / 解析学 / 代数学 / 幾何学 / 深谷圏 / 仮想ホモロジー類 / ラグランジュ部分多様体 / シンプレクティック幾何学 / ミラー対称性 / 代数幾何学 / 複素幾何学 / 位相幾何学 / 微分幾何学 Less

トポロジカル相の分類におけるK理論周辺の諸問題Principal Investigator
- Principal Investigator
  
  五味清紀
- Project Period (FY)
  2020 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Tokyo Institute of Technology
Index theorem and Topological surface state
- Principal Investigator
  
  Furuta Mikio
- Project Period (FY)
  2017 – 2021
- Research Category
  
  Grant-in-Aid for Scientific Research on Innovative Areas (Research in a proposed research area)
- Review Section
  
  Science and Engineering
- Research Institution
  The University of Tokyo
New development of topological K-theory pioneered by physicsPrincipal Investigator
- Principal Investigator
  
  Gomi Kiyonori
- Project Period (FY)
  2015 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Institute of Technology
  Shinshu University
Proof of Homological Mirror Symmetry
- Principal Investigator
  
  Fukaya Kenji
- Project Period (FY)
  2011 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (S)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
Geometric construction of modular functors based on Chern-Simons type theoriesPrincipal Investigator
- Principal Investigator
  
  GOMI Kiyonori
- Project Period (FY)
  2011 – 2014
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Shinshu University
Extensions of topological quantum field theories by means of categorification of geometric quantizationPrincipal Investigator
- Principal Investigator
  
  GOMI Kiyonori
- Project Period (FY)
  2009 – 2010
- Research Category
  
  Grant-in-Aid for Research Activity Start-up
- Research Field
  
  Geometry
- Research Institution
  Kyoto University

All 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2012 2011 2010 2009 Other

All Journal Article Presentation

[Journal Article] Differential K-theory via gradations and mass terms2023
- Author(s)
  Kiyonori Gomi, Mayuko Yamashita
- Journal Title
  
  Advances in Theoretical and Mathematical Physics
  
  Volume: 27 Issue: 2 Pages: 381-481
- DOI
  10.4310/atmp.2023.v27.n2.a1
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03606
[Journal Article] A new light on the FKMM invariant and its consequences2023
- Author(s)
  Giuseppe De Nittis, Kiyonori Gomi
- Journal Title
  
  Journal of Mathematical Physics
  
  Volume: 64 Issue: 3
- DOI
  10.1063/5.0135106
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03606
[Journal Article] The Cohomology Invariant for Class DIII Topological Insulators2022
- Author(s)
  De Nittis Giuseppe、Gomi Kyonori
- Journal Title
  
  Annales Henri Poincare
  
  Volume: - Issue: 10 Pages: 3587-3632
- DOI
  10.1007/s00023-022-01183-z
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PLANNED-17H06461, KAKENHI-PROJECT-20K03606
[Journal Article] Homological bulk-edge correspondence for Weyl semimetal2021
- Author(s)
  Kiyonori Gomi
- Journal Title
  
  Progress of Theoretical and Experimental Physics
  
  Volume: 0 Issue: 4 Pages: 0-0
- DOI
  10.1093/ptep/ptab035
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-20K03606, KAKENHI-PLANNED-17H06461
[Journal Article] Freed-Moore K-theory2021
- Author(s)
  Kiyonori Gomi
- Journal Title
  
  Communications in Analysis and Geometry
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PLANNED-17H06461
[Journal Article] Twisted crystallographic T-duality via the Baum-Connes isomorphism2021
- Author(s)
  Gomi Kiyonori、Kubota Yosuke、Thiang Guo Chuan
- Journal Title
  
  International Journal of Mathematics
  
  Volume: 32 Issue: 10 Pages: 2150078-2150078
- DOI
  10.1142/s0129167x21500786
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PLANNED-17H06461, KAKENHI-PROJECT-20K03606, KAKENHI-PROJECT-19K14544
[Journal Article] ‘Real’ Gerbes and Dirac Cones of Topological Insulators2021
- Author(s)
  Gomi Kiyonori、Thiang Guo Chuan
- Journal Title
  
  Communications in Mathematical Physics
  
  Volume: 388 Issue: 3 Pages: 1507-1555
- DOI
  10.1007/s00220-021-04238-0
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PLANNED-17H06461, KAKENHI-PROJECT-20K03606
[Journal Article] Eigenvalue crossings in Floquet topological systems2020
- Author(s)
  Gomi Kiyonori、Tauber Clement
- Journal Title
  
  Letters in Mathematical Physics
  
  Volume: 110 Issue: 3 Pages: 465-500
- DOI
  10.1007/s11005-019-01225-4
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PLANNED-17H06461
[Journal Article] Smoothness filtration of the magnitude complex2020
- Author(s)
  Gomi Kiyonori
- Journal Title
  
  Forum Mathematicum
  
  Volume: 32 Issue: 3 Pages: 625-639
- DOI
  10.1515/forum-2019-0091
- Peer Reviewed
- Data Source
  KAKENHI-PLANNED-17H06461
[Journal Article] The Geometry of (non-Abelian) Landau levels2020
- Author(s)
  Giuseppe De Nittis, Kiyonori Gomi, Massimo Moscolari
- Journal Title
  
  Journal of Geometry and Physics
  
  Volume: 152 Pages: 103649-103649
- DOI
  10.1016/j.geomphys.2020.103649
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04871, KAKENHI-PLANNED-17H06461
[Journal Article] On the K-theoretic classification of dynamically stable systems2019
- Author(s)
  Giuseppe De Nittis, Kiyonori Gomi
- Journal Title
  
  Reviews in Mathematical Physics
  
  Volume: 31 Issue: 01 Pages: 1950003-1950003
- DOI
  10.1142/s0129055x1950003x
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04871, KAKENHI-PLANNED-17H06461
[Journal Article] Crystallographic bulk-edge correspondence: glide reflections and twisted mod 2 indices2019
- Author(s)
  Kiyonori Gomi,Guo Chuan Thiang
- Journal Title
  
  Letters in Mathematical Physics
  
  Volume: 109 Issue: 4 Pages: 857-904
- DOI
  10.1007/s11005-018-1129-1
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04871, KAKENHI-PLANNED-17H06461
[Journal Article] Crystallographic T-duality2019
- Author(s)
  Kiyonori Gomi,Guo Chuan Thiang
- Journal Title
  
  Journal of Geometry and Physics
  
  Volume: 139 Pages: 50-77
- DOI
  10.1016/j.geomphys.2019.01.002
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04871, KAKENHI-PLANNED-17H06461
[Journal Article] The cohomological nature of the Fu-Kane-Mele invariant2018
- Author(s)
  Guseppe De Nittis, Kiyonori Gomi
- Journal Title
  
  Journal of Geometry and Physics
  
  Volume: 124 Pages: 124-164
- DOI
  10.1016/j.geomphys.2017.10.007
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04871, KAKENHI-PLANNED-17H06461
[Journal Article] Many-body topological invariants for fermionic short-range entangled topological phases protected by antiunitary symmetries2018
- Author(s)
  Ken Shiozaki, Hassan Shapourian, Kiyonori Gomi, Shinsei Ryu
- Journal Title
  
  PHYSICAL REVIEW B
  
  Volume: 98 Issue: 3
- DOI
  10.1103/physrevb.98.035151
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04871, KAKENHI-PLANNED-17H06461
[Journal Article] Chiral vector bundles2018
- Author(s)
  Giuseppe De Nittis, Kiyonori Gomi
- Journal Title
  
  Mathematische Zeitschrift
  
  Volume: 290 Issue: 3-4 Pages: 775-830
- DOI
  10.1007/s00209-018-2041-1
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04871, KAKENHI-PLANNED-17H06461
[Journal Article] The FKMM-invariant in low dimension2017
- Author(s)
  De Nittis Giuseppe、Gomi Kiyonori
- Journal Title
  
  Letters in Mathematical Physics
  
  Volume: 108 Issue: 5 Pages: 1225-1277
- DOI
  10.1007/s11005-017-1029-9
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PLANNED-17H06461, KAKENHI-PROJECT-15K04871
[Journal Article] Fu-Kane-Mele monopoles in semimetals2017
- Author(s)
  Guo Chuan Thiang, Koji Sato and Kiyonori Gomi
- Journal Title
  
  Nuclear Physics. B
  
  Volume: 923 Pages: 107-125
- DOI
  10.1016/j.nuclphysb.2017.07.018
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04871, KAKENHI-PLANNED-17H06461
[Journal Article] Twists on the torus equivariant under the 2-dimensional crystallographic point groups2017
- Author(s)
  Kiyonori Gomi
- Journal Title
  
  SIGMA. Symmetry, Integrability and Geometry. Methods and Applications.
  
  Volume: 13 Pages: 014-051
- DOI
  10.3842/sigma.2017.014
- Peer Reviewed / Acknowledgement Compliant / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04871, KAKENHI-PLANNED-17H06461
[Journal Article] Topological Crystalline Materials -General Formulation, Module Structure, and Wallpaper Groups-2017
- Author(s)
  Ken Shiozaki, Masatoshi Sato, Kiyonori Gomi
- Journal Title
  
  Physical Review B
  
  Volume: 95 Issue: 23
- DOI
  10.1103/physrevb.95.235425
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04871, KAKENHI-PLANNED-15H05855, KAKENHI-PROJECT-17H02922
[Journal Article] Topology of nonsymmorphic crystalline insulators and superconductors2016
- Author(s)
  Ken Shiozaki, Masatoshi Sato, Kiyonori Gomi
- Journal Title
  
  Physical Review B
  
  Volume: 印刷中
- Peer Reviewed / Acknowledgement Compliant / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04871
[Journal Article] Differential geometric invariants for time-reversal symmetric Bloch-bundles: the "Real" case2016
- Author(s)
  Giuseppe De Nittis, Kiyonori Gomi
- Journal Title
  
  Journal of Mathematical Physics
  
  Volume: 印刷中
- Peer Reviewed / Acknowledgement Compliant / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04871
[Journal Article] Z_2 topology in nonsymmorphic crystalline insulators: Mobius twist in surface states2015
- Author(s)
  Ken Shiozaki, Masatoshi Sato, and Kiyonori Gomi
- Journal Title
  
  Physical Review B
  
  Volume: 91 Issue: 15 Pages: 155120-155120
- DOI
  10.1103/physrevb.91.155120
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-13J00815, KAKENHI-PROJECT-23740051, KAKENHI-PROJECT-25287085
[Journal Article] variant of K-theory and topological T-duality for Real circle bundles2015
- Author(s)
  Kiyonori Gomi
- Journal Title
  
  Communications in Mathematical Physics
  
  Volume: 334 Issue: 2 Pages: 923-975
- DOI
  10.1007/s00220-014-2153-3
- NAID
  120007101196
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-23740051
[Journal Article] Classification of "Real" Bloch-bundles: Topological quantum systems of type AI2014
- Author(s)
  Giusppe De Nittis, Kiyonori Gomi
- Journal Title
  
  Journal of Geometry and Physics
  
  Volume: 86 Pages: 303-338
- DOI
  10.1016/j.geomphys.2014.07.036
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-23740051
[Journal Article] ねじれＫ理論2012
- Author(s)
  五味清紀
- Journal Title
  
  雑誌「数学」
  
  Volume: 64 Pages: 47-74
- NAID
  10030740856
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740051
[Journal Article] Clifford modules, finite-dimensional approximation and twisted K-theory2012
- Author(s)
  五味清紀
- Journal Title
  
  Journal of Mathematical Sciences, The University of Tokyo
  
  Volume: 19 Pages: 587-612
- NAID
  120007101198
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740051
[Journal Article] K-theory and finite-dimensional approximation.2010
- Author(s)
  K.Gomi, Twisted
- Journal Title
  
  Communications in Mathematical Physics. 294,no.3
  
  Pages: 863-889
- Data Source
  KAKENHI-PROJECT-21840034
[Journal Article] Chern-Weil construction for twisted K-theory2010
- Author(s)
  五味清紀, 寺嶋郁二
- Journal Title
  
  Communications in Mathematical Physics
  
  Volume: 299 Pages: 225-254
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21840034
[Journal Article] Chern-Weil construction for twisted K-theory.2010
- Author(s)
  K.Gomi, Y.Terashima
- Journal Title
  
  Communications in Mathematical Physics. 299,no.1
  
  Pages: 225-254
- Data Source
  KAKENHI-PROJECT-21840034
[Journal Article] Discrete torsion phases as topological actions.2009
- Author(s)
  K.Gomi, Y.Terashima
- Journal Title
  
  Communications in Mathematical Physics. 287
  
  Pages: 889-901
- Data Source
  KAKENHI-PROJECT-21840034
[Journal Article] Twisted K-theory and finite-dimensional approximation2009
- Author(s)
  Kiyonori Gomi
- Journal Title
  
  Communications in Mathematical Physics 294
  
  Pages: 863-889
- NAID
  120001920764
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21840034
[Journal Article] Projective unitary representations of smooth Deligne cohomology groups.2009
- Author(s)
  K.Gomi
- Journal Title
  
  Journal of Geometry and Physics Vol.59, no.9
  
  Pages: 1199-1356
- Data Source
  KAKENHI-PROJECT-21840034
[Journal Article] Discrete torsion phases as topological actions2009
- Author(s)
  Kiyonori Gomi
- Journal Title
  
  Communications in Mathematical Physics 287
  
  Pages: 889-901
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21840034
[Journal Article] Projective unitary representations of smooth Deligne cohomology groups2009
- Author(s)
  Kiyonori Gomi
- Journal Title
  
  Journal of Geometry and Physics 59
  
  Pages: 1199-1356
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21840034
[Presentation] KR理論におけるRiemann-Roch公式2023
- Author(s)
  Kiyonori Gomi
- Organizer
  第7回幾何学的群論ワークショップ
- Invited
- Data Source
  KAKENHI-PROJECT-20K03606
[Presentation] KR理論におけるRiemann-Roch公式2023
- Author(s)
  Kiyonori Gomi
- Organizer
  研究集会Geometry and Topology
- Invited
- Data Source
  KAKENHI-PROJECT-20K03606
[Presentation] Differential KO-theory via gradations and mass terms2022
- Author(s)
  Kiyonori Gomi
- Organizer
  Geometry, Topology & Physics Seminar
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03606
[Presentation] Homological bulk-edge correspondence for Weyl semimetal2021
- Author(s)
  Kiyonori Gomi
- Organizer
  Internatinal Conference on Discrete Geometric Analysis for Materials Design
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03606
[Presentation] Weyl 半金属に対するホモロジー的バルク境界対応2021
- Author(s)
  五味清紀
- Organizer
  ポアソン幾何とその周辺21
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PLANNED-17H06461
[Presentation] Homological bulk-edge correspondence for Weyl semimetal2021
- Author(s)
  Gomi Kiyonori
- Organizer
  Internatinal Conference on Discrete Geometric Analysis for Materials Design, , online
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PLANNED-17H06461
[Presentation] Weyl 半金属に対するホモロジー的バルク境界対応2021
- Author(s)
  Kiyonori Gomi
- Organizer
  ポアソン幾何とその周辺21
- Invited
- Data Source
  KAKENHI-PROJECT-20K03606
[Presentation] 同変K理論によるバンド絶縁体の分類2021
- Author(s)
  Kiyonori Gomi
- Organizer
  物質のトポロジカル相の理論的探究
- Invited
- Data Source
  KAKENHI-PROJECT-20K03606
[Presentation] 同変K理論によるバンド絶縁体の分類2021
- Author(s)
  五味清紀
- Organizer
  オンラインCREST チュートリアル・ワークショップ物質のトポロジカル相の理論的探究
- Invited
- Data Source
  KAKENHI-PLANNED-17H06461
[Presentation] Homological bulk-edge correspondence for Weyl semimetal2021
- Author(s)
  Kiyonori Gomi
- Organizer
  Topological Phases of Matter
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03606
[Presentation] Homological bulk-edge correspondence for Weyl semimetal2021
- Author(s)
  Gomi Kiyonori
- Organizer
  Topological Phases of Matter, Leysin, Switzerland (attended online)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PLANNED-17H06461
[Presentation] K-theory of C-symmetric gapped pseudo-Hermitian operators2020
- Author(s)
  Kiyonori Gomi
- Organizer
  Topological Phenomena in Non-Hermitian and Non-Equilibrium Systems, Tohoku University
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04871
[Presentation] Crystallographic T-duality2019
- Author(s)
  Kiyonori Gomi
- Organizer
  東工大トポロジーセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-15K04871
[Presentation] トポロジカル絶縁体と位相的K理論2019
- Author(s)
  Kiyonori Gomi
- Organizer
  作用素論セミナー, 京都大学
- Invited
- Data Source
  KAKENHI-PROJECT-15K04871
[Presentation] Crystallographic T-duality2019
- Author(s)
  Kiyonori Gomi
- Organizer
  量子化の幾何学@慶応 ONE-DAY MEETING, 慶応大学
- Invited
- Data Source
  KAKENHI-PROJECT-15K04871
[Presentation] Introduction to twisted K-theory2019
- Author(s)
  Kiyonori Gomi
- Organizer
  関西ゲージ理論セミナー, 京都大学
- Invited
- Data Source
  KAKENHI-PROJECT-15K04871
[Presentation] Topological phase and generalized (co)homology2019
- Author(s)
  Gomi Kiyonori
- Organizer
  Rigorous Statistical Mechanics and Related Topics, Kyoto University
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PLANNED-17H06461
[Presentation] Topological Phases of Interacting Quantum Systems2019
- Author(s)
  Gomi Kiyonori
- Organizer
  Casa Matematica Oaxaca, Mexico
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PLANNED-17H06461
[Presentation] トポロジストのためのトポロジカル絶縁体入門2019
- Author(s)
  Kiyonori Gomi
- Organizer
  日本数学会2019年度年会
- Invited
- Data Source
  KAKENHI-PROJECT-15K04871
[Presentation] 位相的結晶絶縁体とK理論, I, II, III2018
- Author(s)
  Kiyonori Gomi
- Organizer
  トポロジカル相についての数学的研究
- Invited
- Data Source
  KAKENHI-PROJECT-15K04871
[Presentation] Topological crystalline insulators and K-theory2018
- Author(s)
  五味清紀
- Organizer
  Topology & Condensed Matter , National Tsing Hua University, Taiwan, March 22-23
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PLANNED-17H06461
[Presentation] Topological crystalline insulators and K-theory. I,II.2018
- Author(s)
  Kiyonori Gomi
- Organizer
  Topology & Condensed Matter , National Tsing Hua University, Taiwan
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04871
[Presentation] Crystallographic T-duality2018
- Author(s)
  Kiyonori Gomi
- Organizer
  幾何学コロキウム, 北海道大学
- Invited
- Data Source
  KAKENHI-PROJECT-15K04871
[Presentation] Band topology and submanifolds of matrices2018
- Author(s)
  五味清紀
- Organizer
  Recent progress in mathematics of topological insulators, ETH Zürich, Switzerland
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PLANNED-17H06461
[Presentation] バンド理論におけるトポロジー2018
- Author(s)
  Kiyonori Gomi
- Organizer
  応用特異点論ラボセミナー, 北海道大学
- Invited
- Data Source
  KAKENHI-PROJECT-15K04871
[Presentation] Band topology and submanifolds of matrices2018
- Author(s)
  Kiyonori Gomi
- Organizer
  Recent progress in mathematics of topological insulators
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04871
[Presentation] Atiyah-Hirzebruch Spectral Sequence in Band Topology2018
- Author(s)
  Kiyonori Gomi
- Organizer
  Mini-workshop on Topological States and Non-commutative Geometry , Tohoku University, Japan
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04871
[Presentation] Band topology and submanifolds of matrices2018
- Author(s)
  Kiyonori Gomi
- Organizer
  Progress in the Mathematics of Topological States of Matter
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04871
[Presentation] Bott periodicity and Thom isomorphism in Freed-Moore K-theory2017
- Author(s)
  Kiyonori Gomi
- Organizer
  トポロジー金曜セミナー, 九州大学
- Invited
- Data Source
  KAKENHI-PROJECT-15K04871
[Presentation] Bott periodicity and Thom isomorphism in Freed-Moore K-theory2017
- Author(s)
  Kiyonori Gomi
- Organizer
  Gauge theory and higher geometry , The University of Adelaide, Australia
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04871
[Presentation] K-theory, gapped quantum system and C-symmetric indefinite metric space2017
- Author(s)
  Kiyonori Gomi
- Organizer
  The AMS Sectional Meeting, Special Session on Topological Mathematical Physics, Indiana University, Bloomington, USA
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04871
[Presentation] トポロジカル相の分類とコホモロジー理論2017
- Author(s)
  Kiyonori Gomi
- Organizer
  今週の物理 (物質基礎科学セミナー), 信州大学
- Invited
- Data Source
  KAKENHI-PROJECT-15K04871
[Presentation] K-theory, gapped quantum system and C-symmetric indefinite metric space2017
- Author(s)
  Kiyonori Gomi
- Organizer
  The second Australia-Japan Geometry, Analysis and their Applications
- Place of Presentation
  Kyoto University
- Year and Date
  2017-01-31
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04871
[Presentation] Classifications of some twisted equivariant bundles2017
- Author(s)
  Kiyonori Gomi
- Organizer
  The second Australia-Japan Geometry, Analysis and their Applications
- Place of Presentation
  Kisyu Shirahama Onsen Musashi, Shirahama
- Year and Date
  2017-02-03
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04871
[Presentation] K-theory, gapped quantum system and C-symmetric indefinite metric space2016
- Author(s)
  Kiyonori Gomi
- Organizer
  下呂幾何学研究集会
- Place of Presentation
  下呂中央公民館(岐阜県下呂市)
- Year and Date
  2016-12-26
- Invited
- Data Source
  KAKENHI-PROJECT-15K04871
[Presentation] K-theory, gapped quantum system and C-symmetric indefinite metric space2016
- Author(s)
  Kiyonori Gomi
- Organizer
  量子化の幾何学2016
- Place of Presentation
  早稲田大学
- Year and Date
  2016-12-09
- Invited
- Data Source
  KAKENHI-PROJECT-15K04871
[Presentation] The FKMM invariant2015
- Author(s)
  Kiyonori Gomi
- Organizer
  Mini-workshop on Topological States and Non-commutative Geometry
- Place of Presentation
  東北大学
- Year and Date
  2015-03-23
- Invited
- Data Source
  KAKENHI-PROJECT-23740051
[Presentation] K-theory of the torus equivariant under the 2-dimensional crystallographic point groups2015
- Author(s)
  Kiyonori Gomi
- Organizer
  幾何学セミナー
- Place of Presentation
  名古屋大学
- Year and Date
  2015-12-22
- Invited
- Data Source
  KAKENHI-PROJECT-15K04871
[Presentation] K-theory of the torus equivariant under the 2-dimensional crystallographic point groups2015
- Author(s)
  Kiyonori Gomi
- Organizer
  Australia-Japan Geometry, Analysis and their Applications
- Place of Presentation
  The University of Adelaide, Australia
- Year and Date
  2015-10-21
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04871
[Presentation] Topological T-duality for "Real" circle bundle2015
- Author(s)
  Kiyonori Gomi
- Organizer
  トポロジー火曜セミナー
- Place of Presentation
  東京大学
- Year and Date
  2015-11-10
- Invited
- Data Source
  KAKENHI-PROJECT-15K04871
[Presentation] "実"円周束の位相的T双対2014
- Author(s)
  Kiyonori Gomi
- Organizer
  信州トポロジーセミナー
- Place of Presentation
  信州大学
- Year and Date
  2014-11-13
- Invited
- Data Source
  KAKENHI-PROJECT-23740051
[Presentation] "実"円周束の位相的T双対2014
- Author(s)
  Kiyonori Gomi
- Organizer
  阪大幾何セミナー
- Place of Presentation
  大阪大学
- Year and Date
  2014-10-27
- Invited
- Data Source
  KAKENHI-PROJECT-23740051
[Presentation] A variant of K-theory and topological T-duality for "Real" circle bundles2014
- Author(s)
  Kiyonori Gomi
- Organizer
  Seminar
- Place of Presentation
  Friedrich-Alexander-Universitat Erlangen-Nurmberg,Germany
- Year and Date
  2014-12-04
- Invited
- Data Source
  KAKENHI-PROJECT-23740051
[Presentation] The FKMM invariant in low dimension.2014
- Author(s)
  Kiyonori Gomi
- Organizer
  Differential geometry seminars,
- Place of Presentation
  The University of Adelaide, Australia
- Year and Date
  2014-09-12
- Invited
- Data Source
  KAKENHI-PROJECT-23740051
[Presentation] "実"円周束の位相的T双対2014
- Author(s)
  Kiyonori Gomi
- Organizer
  量子化の幾何学2014
- Place of Presentation
  早稲田大学
- Year and Date
  2014-12-20
- Invited
- Data Source
  KAKENHI-PROJECT-23740051
[Presentation] The FKMM invariant of `symplectic' vector bundles2014
- Author(s)
  Kiyonori Gomi
- Organizer
  The Second China-Japan Conference on Noncommutative Geometry and K-theory
- Place of Presentation
  沖縄, ホテル海邦
- Year and Date
  2014-10-05
- Invited
- Data Source
  KAKENHI-PROJECT-23740051
[Presentation] Differential K-theory and the Adams operation2012
- Author(s)
  五味清紀
- Organizer
  Topology and Analysis on Foliations(招待講演)
- Place of Presentation
  名古屋大学
- Data Source
  KAKENHI-PROJECT-23740051
[Presentation] 微分コホモロジーとコホモロジー作用素2011
- Author(s)
  五味清紀
- Organizer
  談話会(招待講演)
- Place of Presentation
  信州大学
- Data Source
  KAKENHI-PROJECT-23740051
[Presentation] Differential K-theory and the Adams operation2011
- Author(s)
  五味清紀
- Organizer
  量子化の幾何学2011(招待講演)
- Place of Presentation
  早稲田大学
- Data Source
  KAKENHI-PROJECT-23740051
[Presentation] Remarks on characteristic classes for twisted K-theory2011
- Author(s)
  五味清紀
- Organizer
  Mejiro mini-workshop on geometry and topology(招待講演)
- Place of Presentation
  学習院大学
- Data Source
  KAKENHI-PROJECT-23740051
[Presentation] Differential K-theory and the Adams operation2011
- Author(s)
  五味清紀
- Organizer
  East Asian Conference on Algebraic Topology 4(招待講演)
- Place of Presentation
  東京大学
- Data Source
  KAKENHI-PROJECT-23740051
[Presentation] Differential K-theory and the Adams operation.2010
- Author(s)
  五味清紀
- Organizer
  Seminar, Aarhus University
- Place of Presentation
  Denmark
- Year and Date
  2010-12-20
- Data Source
  KAKENHI-PROJECT-21840034
[Presentation] Atiyah-Segal不変多項式環の基底2010
- Author(s)
  五味清紀
- Organizer
  日本数学会2010年度秋季総合分科会
- Place of Presentation
  名古屋大学
- Year and Date
  2010-09-23
- Data Source
  KAKENHI-PROJECT-21840034
[Presentation] A basis of Atiyah-Segal invariant polynomials2010
- Author(s)
  五味清紀
- Organizer
  非可換幾何学と数理物理学2010
- Place of Presentation
  慶応大学(招待講演)
- Data Source
  KAKENHI-PROJECT-21840034
[Presentation] A basis of the Atiyah-Segal invariant polynomials2010
- Author(s)
  五味清紀
- Organizer
  非可換幾何学と数理物理学2010
- Place of Presentation
  慶応大学
- Year and Date
  2010-07-02
- Data Source
  KAKENHI-PROJECT-21840034
[Presentation] Differential K-theory and the Adams operation2010
- Author(s)
  五味清紀
- Organizer
  Seminar
- Place of Presentation
  Aarhus University(デンマーク)(招待講演)
- Data Source
  KAKENHI-PROJECT-21840034
[Presentation] 捻られたK理論の実現とFredholm作用素の有限次元近似2009
- Author(s)
  五味清紀
- Organizer
  談話会
- Place of Presentation
  京都大学
- Year and Date
  2009-04-22
- Data Source
  KAKENHI-PROJECT-21840034
[Presentation] A finite-dimensional construction of the Chern character for twisted K-theory2009
- Author(s)
  五味清紀
- Organizer
  微分トポロジーセミナー
- Place of Presentation
  京都大学
- Year and Date
  2009-07-07
- Data Source
  KAKENHI-PROJECT-21840034
[Presentation] Discrete torsion phases as topological actions2009
- Author(s)
  五味清紀
- Organizer
  群と力学系に関わる離散幾何学
- Place of Presentation
  愛媛大学
- Year and Date
  2009-09-03
- Data Source
  KAKENHI-PROJECT-21840034
[Presentation] Twisted K-theory and finite-dimensional approximation2009
- Author(s)
  五味清紀
- Organizer
  第56回トポロジーシンポジウム
- Place of Presentation
  北海道大学
- Year and Date
  2009-08-08
- Data Source
  KAKENHI-PROJECT-21840034
[Presentation] Twisted K-theory and finite-dimensional approximation2009
- Author(s)
  五味清紀
- Organizer
  GCOE Geometry Seminar
- Place of Presentation
  京都大学
- Data Source
  KAKENHI-PROJECT-21840034
[Presentation] Multiplication in differential cohomology and cohomology operation2009
- Author(s)
  五味清紀
- Organizer
  IPMU Komaba Seminar
- Place of Presentation
  東京大学
- Year and Date
  2009-06-08
- Data Source
  KAKENHI-PROJECT-21840034
[Presentation] A finite-dimensional construction of the Chern character for twisted K-theory2009
- Author(s)
  五味清紀
- Organizer
  トポロジー火曜セミナー
- Place of Presentation
  東京大学
- Year and Date
  2009-06-09
- Data Source
  KAKENHI-PROJECT-21840034
[Presentation] Introduction to Costello's formulation of perturbative quantum field theory
- Author(s)
  五味清紀
- Organizer
  信州数理物理セミナー
- Place of Presentation
  信州大学
- Invited
- Data Source
  KAKENHI-PROJECT-23740051
[Presentation] Mickelsson's twisted K-theory invariant and its generalization
- Author(s)
  五味清紀
- Organizer
  MS Seminar
- Place of Presentation
  カブリ数物連携宇宙研究機構
- Invited
- Data Source
  KAKENHI-PROJECT-23740051
[Presentation] Chern-Simons-Dirac theory
- Author(s)
  五味清紀
- Organizer
  談話会
- Place of Presentation
  京都大学
- Invited
- Data Source
  KAKENHI-PROJECT-23740051
[Presentation] Mickelsson's twisted K-theory invariant
- Author(s)
  Kiyonori Gomi
- Organizer
  The 6th Pacific RIM Conference on Mathematics
- Place of Presentation
  Sapporo, Japan
- Invited
- Data Source
  KAKENHI-PROJECT-23224002
[Presentation] Construction of TQFT from cohomology
- Author(s)
  五味清紀
- Organizer
  信州トポロジーセミナー
- Place of Presentation
  信州大学
- Invited
- Data Source
  KAKENHI-PROJECT-23740051
[Presentation] Mickelsson's twisted K-theory invariant and its generalization
- Author(s)
  五味清紀
- Organizer
  Discrete Geometry and Dynamical Systems
- Place of Presentation
  京都大学
- Invited
- Data Source
  KAKENHI-PROJECT-23740051
[Presentation] Topological T-duality for Real circle bundles
- Author(s)
  五味清紀
- Organizer
  Further development of Atiyah-Singer theorem and K-theory
- Place of Presentation
  京都大学
- Invited
- Data Source
  KAKENHI-PROJECT-23740051
[Presentation] Introduction to Costello's formulation of perturbative quantum field theory
- Author(s)
  Kiyonori Gomi
- Organizer
  信州数理物理セミナー
- Place of Presentation
  信州大学
- Invited
- Data Source
  KAKENHI-PROJECT-23224002
[Presentation] Mickelsson's twisted K-theory invariant
- Author(s)
  五味清紀
- Organizer
  The 6th Pacific RIM Conference on Mathematics 2013
- Place of Presentation
  札幌コンベンションセンター
- Invited
- Data Source
  KAKENHI-PROJECT-23740051
[Presentation] Construction of TQFT from cohomology
- Author(s)
  五味清紀
- Organizer
  幾何セミナー
- Place of Presentation
  明治大学
- Invited
- Data Source
  KAKENHI-PROJECT-23740051

1. Kato Tsuyoshi (20273427)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
2. Fukaya Kenji (30165261)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
3. Mitsumatsu Yoshihiko (70190725)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
4. Ohnita Yoshihiro (90183764)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. Nakajima Hiraku (00201666)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. Kato Fumiharu (50294880)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. Konishi Yukiko (30505649)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. Iritani Hiroshi (20448400)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. Kuribayashi Katsuhiko (40249751)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. Ono Kaoru (70467033)

# of Collaborated Projects: 1 results

# of Collaborated Products: 2 results
11. Fujiwara Koji (60229078)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. Akaho Manabu (30332935)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. Furuta Mikio (50181459)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. 小野薫 (20204232)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. ONO Hajime

# of Collaborated Projects: 0 results

# of Collaborated Products: 2 results

Gomi Kiyonori 五味 清紀

GOMI Kiyonori 五味 清紀

Research Projects

Research Products

Co-Researchers

トポロジカル相の分類におけるK理論周辺の諸問題Principal Investigator

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Index theorem and Topological surface state

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New development of topological K-theory pioneered by physicsPrincipal Investigator

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Proof of Homological Mirror Symmetry

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Geometric construction of modular functors based on Chern-Simons type theoriesPrincipal Investigator

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Extensions of topological quantum field theories by means of categorification of geometric quantizationPrincipal Investigator

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[Journal Article] Differential K-theory via gradations and mass terms2023

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[Journal Article] A new light on the FKMM invariant and its consequences2023

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[Journal Article] The Cohomology Invariant for Class DIII Topological Insulators2022

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[Journal Article] Homological bulk-edge correspondence for Weyl semimetal2021

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[Journal Article] Freed-Moore K-theory2021

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[Journal Article] Twisted crystallographic T-duality via the Baum-Connes isomorphism2021

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[Journal Article] ‘Real’ Gerbes and Dirac Cones of Topological Insulators2021

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[Journal Article] Eigenvalue crossings in Floquet topological systems2020

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Gomi Kiyonori 五味清紀

GOMI Kiyonori 五味清紀