KUNO Yusuke 久野雄介

Researcher Number	80632760
Affiliation (Current)	2020: 津田塾大学, 学芸学部, 准教授
Affiliation (based on the past Project Information) *help	2015 – 2018: 津田塾大学, 学芸学部, 准教授 2012 – 2014: 津田塾大学, 学芸学部, 講師
Review Section/Research Field	Principal Investigator Geometry / Basic Section 11020:Geometry-related Except Principal Investigator Geometry / Medium-sized Section 11:Algebra, geometry, and related fields
Keywords	Principal Investigator 写像類群 / デーンツイスト / ジョンソン準同型 / テュラエフ余括弧積 / 位相幾何学 / ゴールドマン・リー代数 / 幾何学 / ゴールドマン括弧積 / トュラエフ余括弧積 / ファットグラフ … More Except Principal Investigator … More

写像類群のジョンソン準同型をめぐる研究：曲面上の1次元的対象を用いたアプローチPrincipal InvestigatorOngoing
- Principal Investigator
  
  久野雄介
- Project Period (FY)
  2018 – 2021
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Tsuda College
Various evolutions of Teichmuller theoryOngoing
- Principal Investigator
  
  大鹿健一
- Project Period (FY)
  2018 – 2022
- Research Category
  
  Fund for the Promotion of Joint International Research (Fostering Joint International Research (B))
- Review Section
  
  Medium-sized Section 11:Algebra, geometry, and related fields
- Research Institution
  Osaka University
Topological studies on Riemann surfaces through Lie bialgebras
- Principal Investigator
  
  Kawazumi Nariya
- Project Period (FY)
  2015 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  The University of Tokyo
Study of the mapping class group using the intersections of curves on surfacesPrincipal Investigator
- Principal Investigator
  
  Kuno Yusuke
- Project Period (FY)
  2014 – 2017
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Tsuda College
Research on generalized Dehn twistsPrincipal Investigator
- Principal Investigator
  
  KUNO Yusuke
- Project Period (FY)
  2012 – 2013
- Research Category
  
  Grant-in-Aid for Research Activity Start-up
- Research Field
  
  Geometry
- Research Institution
  Tsuda College
Topological study of Riemann surfaces through infinite-dimensional Lie algebras
- Principal Investigator
  
  Kawazumi Nariya
- Project Period (FY)
  2012 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  The University of Tokyo

All 2019 2018 2017 2016 2015 2014 2013 2012 Other

All Journal Article Presentation

[Journal Article] Self-intersections of curves on a surface and Bernoulli numbers2018
- Author(s)
  Shinji Fukuhara, Nariya Kawazumi, Yusuke Kuno
- Journal Title
  
  Osaka Journal of Mathematics
  
  Volume: 55 Pages: 761-768
- NAID
  120006542322
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03308
[Journal Article] Self-intersections of curves on a surface and Bernoulli numbers2018
- Author(s)
  Shinji Fukuhara, Nariya Kawazumi and Yusuke Kuno
- Journal Title
  
  Osaka J. Math.
  
  Volume: 55
- NAID
  120006542322
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-15H03617
[Journal Article] The Goldman-Turaev Lie bialgebra in genus zero and the Kashiwara-Vergne problem2018
- Author(s)
  Anton Alekseev, Nariya Kawazumi, Yusuke Kuno and Florian Naef
- Journal Title
  
  Advances in Mathematics
  
  Volume: 326 Pages: 1-53
- DOI
  10.1016/j.aim.2017.12.005
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H03617, KAKENHI-PROJECT-26800044, KAKENHI-PROJECT-18KK0071
[Journal Article] Higher genus Kashiwara-Vergne problems and the Goldman-Turaev Lie bialgebra2017
- Author(s)
  A. Alekseev, N.Kawazumi, Y. Kuno and F. Naef
- Journal Title
  
  C. R. Acad. Sci. Paris, Ser. I.
  
  Volume: 355 Pages: 123-127
- DOI
  10.1016/j.crma.2016.12.007
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24224002, KAKENHI-PROJECT-26800044, KAKENHI-PROJECT-15H03617
[Journal Article] Kauffman-Jones polynomial of a curve on a surface2017
- Author(s)
  Fukuhara Shinji、Kuno Yusuke
- Journal Title
  
  Journal of Knot Theory and its Applications
  
  Volume: 26 Pages: 1750052-1750052
- DOI
  10.1142/s0218216517500626
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26400098, KAKENHI-PROJECT-26800044
[Journal Article] A homology valued invariant for trivalent fatgraph spines2017
- Author(s)
  Yusuke Kuno
- Journal Title
  
  Algebraic & Geometric Topology
  
  Volume: 17 Pages: 1785-1811
- DOI
  10.2140/agt.2017.17.1785
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26800044
[Journal Article] The Goldman-Turaev Lie bialgebra and the Johnson homomorphisms2016
- Author(s)
  Nariya Kawazumi and Yusuke Kuno
- Journal Title
  
  Handbook of Teichmuller theory
  
  Volume: 5 Pages: 97-165
- DOI
  10.4171/160-1/5
- Data Source
  KAKENHI-PROJECT-26800044
[Journal Article] Meyer functions and the signature of fibered 4-manifolds2016
- Author(s)
  Yusuke Kuno
- Journal Title
  
  Handbook of Teichmuller theory
  
  Volume: 5 Pages: 75-96
- DOI
  10.4171/160-1/4
- Data Source
  KAKENHI-PROJECT-26800044
[Journal Article] Intersections of curves on surfaces and their applications to mapping class groups,2015
- Author(s)
  Nariya Kawazumi and Yusuke Kuno
- Journal Title
  
  Ann. Inst. Fourier
  
  Volume: 65 Pages: 2711-2762
- DOI
  10.5802/aif.3001
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-26800044, KAKENHI-PROJECT-15H03617, KAKENHI-PROJECT-24224002
[Journal Article] The Goldman-Turaev Lie bialgebra and the Johnson homomorphisms2015
- Author(s)
  Nariya Kawazumi and Yusuke Kuno
- Journal Title
  
  Handbook of Teichmueller theory
  
  Volume: 5
- Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24340010
[Journal Article] The logarithms of Dehn twists2014
- Author(s)
  N. Kawazumi and Y. Kuno
- Journal Title
  
  Quantum Topology
  
  Volume: 5 Pages: 347-423
- DOI
  10.4171/qt/54
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22244004, KAKENHI-PROJECT-24340010, KAKENHI-PROJECT-26800044
[Journal Article] Generators of the homological Goldman Lie algebra2014
- Author(s)
  N. Kawazumi, Y. Kuno and K. Toda
- Journal Title
  
  Osaka Journal of Mathematics
  
  Volume: 51
- NAID
  120005478476
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24340010
[Journal Article] Generators of the homological Goldman Lie algebra2014
- Author(s)
  Nariya Kawazumi, Yusuke Kuno and Kazuki Toda
- Journal Title
  
  Osaka Journal of Mathematics
  
  Volume: 51 Pages: 665-671
- NAID
  120005478476
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26800044
[Journal Article] The center of the Goldman Lie algebra of a surface of infinite genus2013
- Author(s)
  Nariya Kawazumi and Yusuke Kuno
- Journal Title
  
  Quarterly Journal of Mathematics
  
  Volume: 64 Pages: 1167-1190
- DOI
  10.1093/qmath/has017
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24224002, KAKENHI-PROJECT-24340010, KAKENHI-PROJECT-24840038
[Journal Article] The generalized Dehn twist along a figure eight2013
- Author(s)
  Yusuke Kuno
- Journal Title
  
  Journal of Topology and Analysis
  
  Volume: 5 Pages: 271-295
- DOI
  10.1142/s1793525313500155
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24840038
[Journal Article] Generators of the homological Goldman Lie algebra2013
- Author(s)
  N. Kawazumi, Y, Kuno and K. Toda
- Journal Title
  
  Osaka Journal of Mathematics
- NAID
  120005478476
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24340010
[Journal Article] Marked fatgraph complexes and surface automorphisms2013
- Author(s)
  Yusuke Kuno, Robert Penner and Vladimir Turaev
- Journal Title
  
  Geometriae Dedicata
  
  Volume: 167 Pages: 151-166
- DOI
  10.1007/s10711-012-9807-0
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24840038
[Journal Article] The logarithms of Dehn twists2013
- Author(s)
  N. Kawazumi and Y. Kuno
- Journal Title
  
  Quantum Topolog
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24340010
[Journal Article] The logarithms of Dehn twists
- Author(s)
  Nariya Kawazumi and Yusuke Kuno
- Journal Title
  
  Quantum topology
  
  Volume: (掲載決定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24840038
[Journal Article] Generators of the homological Goldman Lie algebra
- Author(s)
  Nariya Kawazumi, Yusuke Kuno and Kazuki Toda
- Journal Title
  
  Osaka Journal of Mathematics
  
  Volume: (掲載決定)
- NAID
  120005478476
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24840038
[Presentation] Generalized Dehn twists on surfaces and homology cylinders2019
- Author(s)
  Yusuke Kuno
- Organizer
  トポロジー火曜セミナー, 東京大学大学院数理科学研究科
- Invited
- Data Source
  KAKENHI-PROJECT-18K03308
[Presentation] Formality of the Goldman-Turaev Lie bialgebra and the Kashiwara-Vergne problem2018
- Author(s)
  Yusuke Kuno
- Organizer
  102e rencontre entre mathematiciens et physiciens theoriciens, IRMA, University of Strasbourg (France)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03308
[Presentation] Goldman-Turaev Lie双代数の形式性と柏原-Vergne問題2018
- Author(s)
  Yusuke Kuno
- Organizer
  Poisson幾何とその周辺, 東京理科大学
- Invited
- Data Source
  KAKENHI-PROJECT-18K03308
[Presentation] Formality of the Goldman-Turaev Lie bialgebra and the Kashiwara-Vergne problem2018
- Author(s)
  Yusuke Kuno
- Organizer
  Poisson geometry of moduli spaces, associators and quantum field theory, Simons Center for Geometry and Physics (USA)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03308
[Presentation] Formality of the Goldman-Turaev Lie bialgebra and the Kashiwara-Vergne problem2018
- Author(s)
  Yusuke Kuno
- Organizer
  102e rencontre entre mathematiciens et physiciens theoriciens, Strasbourg
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18KK0071
[Presentation] Kauffman-Jones polynomial of a curve on a surface2017
- Author(s)
  Yusuke Kuno
- Organizer
  リーマン面に関連する位相幾何学2017、東京大学大学院数理科学研究科
- Data Source
  KAKENHI-PROJECT-26800044
[Presentation] Turaev余括弧積の形式性と柏原-Vergne問題2017
- Author(s)
  Yusuke Kuno
- Organizer
  幾何学コロキウム、北海道大学大学院理学研究院数学部門
- Invited
- Data Source
  KAKENHI-PROJECT-26800044
[Presentation] Formality of the Goldman-Turaev Lie bialgebra and the Kashiwara-Vergne problem in positive genus2017
- Author(s)
  Yusuke Kuno
- Organizer
  トポロジー火曜セミナー、東京大学大学院数理科学研究科
- Invited
- Data Source
  KAKENHI-PROJECT-26800044
[Presentation] Formality of the Goldman-Turaev Lie bialgebra and the Kashiwara-Vergne problem2017
- Author(s)
  Yusuke Kuno
- Organizer
  Topology and Geometry of Low-dimensional Manifolds、奈良女子大学
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800044
[Presentation] The Goldman-Turaev Lie bialgebra and the Kashiwara-Vergne problem2017
- Author(s)
  Yusuke Kuno
- Organizer
  Tsuda University Topology Workshop、津田塾大学小平キャンパス
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800044
[Presentation] 1-cocycles on the fatgraph complex2016
- Author(s)
  Yusuke Kuno
- Organizer
  Seminaire Groupes de Lie et espaces des modules
- Place of Presentation
  Universite de Geneve (Switzerland)
- Year and Date
  2016-10-25
- Invited
- Data Source
  KAKENHI-PROJECT-26800044
[Presentation] The Turaev cobracket for genus 0 and the Kashiwara-Vergne problem2016
- Author(s)
  Yusuke Kuno
- Organizer
  Seminar Georges Reeb
- Place of Presentation
  LMIA Universite Haute-Alsace (France)
- Year and Date
  2016-05-19
- Invited
- Data Source
  KAKENHI-PROJECT-26800044
[Presentation] On algebraic description of the Goldman-Turaev Lie bialgebra2016
- Author(s)
  Yusuke Kuno
- Organizer
  Branched Coverings, Degenerations, and Related Topics 2016
- Place of Presentation
  広島大学理学部
- Year and Date
  2016-03-07
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800044
[Presentation] The Kashiwara-Vergne problem and the Goldman-Turaev Lie bialgebra, II2016
- Author(s)
  Yusuke Kuno
- Organizer
  Workshop on Grothendieck-Teichmuller theories
- Place of Presentation
  Chern Institute of Mathematics, Nankai University (China)
- Year and Date
  2016-07-28
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800044
[Presentation] Higher genus Kashiwara-Vergne problems and the Goldman-Turaev Lie bialgebra2016
- Author(s)
  Yusuke Kuno
- Organizer
  Geometry and Topology seminar
- Place of Presentation
  University of Luxembourg (Luxembourg)
- Year and Date
  2016-12-05
- Invited
- Data Source
  KAKENHI-PROJECT-26800044
[Presentation] The Goldman-Turaev Lie bialgebra in genus zero and the Kashiwara-Vergne problem2016
- Author(s)
  Yusuke Kuno
- Organizer
  Seminaire de Topologie
- Place of Presentation
  Institut Fourier, Universite Grenoble Alpes (France)
- Year and Date
  2016-09-16
- Invited
- Data Source
  KAKENHI-PROJECT-26800044
[Presentation] The Goldman-Turaev Lie bialgebra in genus zero and the Kashiwara-Vergne problem2016
- Author(s)
  Yusuke Kuno
- Organizer
  GRT, MZVs and associators
- Place of Presentation
  Les Diablerets, Switzerland
- Year and Date
  2016-08-28
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800044
[Presentation] The Turaev cobracket for genus 0 and the Kashiwara-Vergne problem2016
- Author(s)
  Yusuke Kuno
- Organizer
  Seminaire GT3
- Place of Presentation
  IRMA, University of Strasbourg (France)
- Year and Date
  2016-05-30
- Invited
- Data Source
  KAKENHI-PROJECT-26800044
[Presentation] 1-cocycles on the fatgraph complex2016
- Author(s)
  Yusuke Kuno
- Organizer
  トポロジーセミナー
- Place of Presentation
  東京工業大学大学院理工学研究科
- Year and Date
  2016-01-06
- Invited
- Data Source
  KAKENHI-PROJECT-26800044
[Presentation] A homology valued invariant for trivalent fatgraph spines2015
- Author(s)
  Yusuke Kuno
- Organizer
  MCM2015(autumn):Moduli Space, Conformal Field Theory and Matrix Models
- Place of Presentation
  東京大学数理科学研究科
- Year and Date
  2015-10-30
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800044
[Presentation] A homology valued invariant for trivalent fatgraph spines2015
- Author(s)
  Yusuke Kuno
- Organizer
  離散群と双曲空間の幾何と解析
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2015-06-22
- Invited
- Data Source
  KAKENHI-PROJECT-26800044
[Presentation] Fatgraph complexes and mapping class groups2015
- Author(s)
  久野雄介
- Organizer
  日本数学会トポロジー分科会特別講演
- Place of Presentation
  明治大学
- Year and Date
  2015-03-23
- Invited
- Data Source
  KAKENHI-PROJECT-26800044
[Presentation] 1-cocycles on the fatgraph complex2015
- Author(s)
  Yusuke Kuno
- Organizer
  信州トポロジーセミナー
- Place of Presentation
  信州大学理学部
- Year and Date
  2015-12-16
- Invited
- Data Source
  KAKENHI-PROJECT-26800044
[Presentation] A homology valued invariant for trivalent fatgraph spines2015
- Author(s)
  Yusuke Kuno
- Organizer
  French-Japanese workshop on Teichmuller spaces and surface mapping class groups
- Place of Presentation
  IRMA, University of Strasbourg (France)
- Year and Date
  2015-06-04
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800044
[Presentation] Symplectic expansions and mapping class groups2015
- Author(s)
  Yusuke Kuno
- Organizer
  GRT, MZVs and associators
- Place of Presentation
  Les Diablerets, Switzerland
- Year and Date
  2015-08-21
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800044
[Presentation] The Goldman-Turaev Lie bialgebra and the Johnson homomorphisms2014
- Author(s)
  Yusuke Kuno
- Organizer
  New Trends in Teichmuller Theory and Mapping Class Groups
- Place of Presentation
  Mathematisches Forschungsinstitut Oberwolfach
- Year and Date
  2014-02-13
- Data Source
  KAKENHI-PROJECT-24840038
[Presentation] The Goldman-Turaev Lie bialgebra and the Johnson homomorphisms2014
- Author(s)
  久野雄介
- Organizer
  幾何学コロキウム
- Place of Presentation
  北海道大学大学院理学院数学専攻
- Year and Date
  2014-01-09
- Data Source
  KAKENHI-PROJECT-24840038
[Presentation] Morita-Penner construction and the Earle class2014
- Author(s)
  Yusuke Kuno
- Organizer
  Mapping class groups of surfaces and automorphism groups of free groups
- Place of Presentation
  IRMA, University of Strasbourg (France)
- Year and Date
  2014-09-01
- Invited
- Data Source
  KAKENHI-PROJECT-26800044
[Presentation] Marked fatgraph complexes and surface automorphisms2013
- Author(s)
  久野雄介
- Organizer
  Hurwitz actionとその周辺
- Place of Presentation
  群馬大学
- Year and Date
  2013-01-06
- Data Source
  KAKENHI-PROJECT-24840038
[Presentation] The Goldman-Turaev Lie bialgebra and the Johnson homomorphisms2013
- Author(s)
  Yusuke Kuno
- Organizer
  研究集会:ジョンソン準同型
- Place of Presentation
  東京大学大学院数理科学研究科
- Year and Date
  2013-06-06
- Data Source
  KAKENHI-PROJECT-24840038
[Presentation] Earle類のPtolemy亜群への拡張について2013
- Author(s)
  久野雄介
- Organizer
  日本数学会
- Place of Presentation
  京都大学
- Year and Date
  2013-03-21
- Data Source
  KAKENHI-PROJECT-24840038
[Presentation] A generalization of Dehn twists2013
- Author(s)
  Yusuke Kuno
- Organizer
  Seminar
- Place of Presentation
  Erwin Schrodinger Institute
- Year and Date
  2013-02-13
- Data Source
  KAKENHI-PROJECT-24840038
[Presentation] Dehnツイストの一般化についてI, II2012
- Author(s)
  久野雄介
- Organizer
  空間の代数的・幾何的モデルとその周辺
- Place of Presentation
  京都大学数理解析研究所
- Data Source
  KAKENHI-PROJECT-24840038
[Presentation] Dehn ツイストの一般化について I, II2012
- Author(s)
  久野雄介
- Organizer
  空間の代数的・幾何的モデルとその周辺
- Place of Presentation
  京都大学数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-24840038
[Presentation] A generalization of Dehn twists2012
- Author(s)
  久野雄介
- Organizer
  特異点セミナー
- Place of Presentation
  東京理科大学
- Year and Date
  2012-11-30
- Data Source
  KAKENHI-PROJECT-24840038
[Presentation] Marked fatgraph complexes and surface automorphisms2012
- Author(s)
  久野雄介
- Organizer
  リーマン面に関連する位相幾何学2012
- Place of Presentation
  東京大学大学院数理科学研究科
- Year and Date
  2012-09-03
- Data Source
  KAKENHI-PROJECT-24840038
[Presentation] Earle類のPtolemy亜群への拡張について
- Author(s)
  Yusuke Kuno, Robert Penner, Vladimir Turaev
- Organizer
  日本数学会
- Place of Presentation
  京都大学
- Data Source
  KAKENHI-PROJECT-24840038
[Presentation] The Goldman-Turaev Lie bialgebra and the Johnson homomorphisms
- Author(s)
  久野雄介
- Organizer
  研究集会: ジョンソン準同型
- Place of Presentation
  東京大学数理科学研究科
- Data Source
  KAKENHI-PROJECT-24840038
[Presentation] Marked fatgraph complexes and surface automorphisms
- Author(s)
  久野雄介
- Organizer
  Hurwitz action とその周辺
- Place of Presentation
  群馬大学
- Invited
- Data Source
  KAKENHI-PROJECT-24840038
[Presentation] A generalization of Dehn twists
- Author(s)
  久野雄介
- Organizer
  Seminar
- Place of Presentation
  Erwin Schrodinger Instutute, Vienna
- Invited
- Data Source
  KAKENHI-PROJECT-24840038

1. Kawazumi Nariya (30214646)

# of Collaborated Projects: 3 results

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2. TADOKORO Yuuki (10435414)

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3. SATOH Takao (70533256)

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4. SATO Masatoshi (10632010)

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5. 大鹿健一 (70183225)

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6. 北山貴裕 (10700057)

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7. 山崎玲 (30431901)

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8. 宮地秀樹 (40385480)

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9. 山田澄生 (90396416)

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10. KURIBAYASHI Katsuhiko

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11. NAITO Takahito

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12. Penner Robert

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13. Alekseev Anton

# of Collaborated Projects: 1 results

# of Collaborated Products: 2 results
14. Naef Florian

# of Collaborated Projects: 1 results

# of Collaborated Products: 2 results
15. 河澄響也

# of Collaborated Projects: 0 results

# of Collaborated Products: 10 results
16. 福原真二

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

KUNO Yusuke 久野 雄介

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写像類群のジョンソン準同型をめぐる研究：曲面上の1次元的対象を用いたアプローチPrincipal InvestigatorOngoing

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Various evolutions of Teichmuller theoryOngoing

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Topological studies on Riemann surfaces through Lie bialgebras

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Study of the mapping class group using the intersections of curves on surfacesPrincipal Investigator

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Research on generalized Dehn twistsPrincipal Investigator

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Topological study of Riemann surfaces through infinite-dimensional Lie algebras

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[Journal Article] Self-intersections of curves on a surface and Bernoulli numbers2018

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[Journal Article] Self-intersections of curves on a surface and Bernoulli numbers2018

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[Journal Article] The Goldman-Turaev Lie bialgebra in genus zero and the Kashiwara-Vergne problem2018

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[Journal Article] Higher genus Kashiwara-Vergne problems and the Goldman-Turaev Lie bialgebra2017

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[Journal Article] Kauffman-Jones polynomial of a curve on a surface2017

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[Journal Article] A homology valued invariant for trivalent fatgraph spines2017

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[Journal Article] The Goldman-Turaev Lie bialgebra and the Johnson homomorphisms2016

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[Journal Article] Meyer functions and the signature of fibered 4-manifolds2016

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KUNO Yusuke 久野雄介