Nosaka Takefumi 野坂武史

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Takefumi Nosaka 野坂武史

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Researcher Number	00646903
Other IDs
Affiliation (Current)	2026: 東京科学大学, 理学院, 准教授
Affiliation (based on the past Project Information) *help	2024: 東京科学大学, 理学院, 准教授 2017 – 2023: 東京工業大学, 理学院, 准教授 2016: 九州大学, 数理学研究院, 助教 2013 – 2015: 九州大学, 数理(科)学研究科(研究院), 助教
Review Section/Research Field	Principal Investigator Basic Section 11020:Geometry-related / Geometry
Keywords	Principal Investigator 結び目 / トポロジー / ３次元多様体 / 幾何学 / Chern-Simons理論 / べき零 / べき零群 / 数学 / コホモロジー / カンドル … More / 幾何 / チャーンサイモンズ理論 / Alexander多項式 / 被覆空間 / 有限群のコホモロジー / 群コホモロジー / 3次元多様体 / 写像類群 / 群のコホモロジー / 結ぶ目 Less

Research Projects
(4 results)
Research Products
(33 results)

Various studies of Chern-Simons theory from 3-dimensional geometric cohomologyPrincipal Investigator
- Principal Investigator
  
  野坂武史
- Project Period (FY)
  2024 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Institute of Science Tokyo
Nilpotent study of 3-dimensional topologyPrincipal Investigator
- Principal Investigator
  
  Nosaka Takefumi
- Project Period (FY)
  2020 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Tokyo Institute of Technology
Algebraic topology of quandles, and its application to low dimensional topologyPrincipal Investigator
- Principal Investigator
  
  Nosaka Takefumi
- Project Period (FY)
  2017 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Institute of Technology
Characteristic classes of quandles, and its applications to low dimensional topologyPrincipal Investigator
- Principal Investigator
  
  Takefumi Nosaka
- Project Period (FY)
  2013 – 2016
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Kyushu University

All 2024 2023 2022 2021 2020 2019 2018 2017 2015 2014 2013

All Journal Article Presentation Book

[Book] Quandles and Topological Pairs---- Symmetry, Knots, and Cohomology2017
- Author(s)
  Takefumi Nosaka
- Total Pages
  150
- Publisher
  Springer
- ISBN
  9789811067938
- Data Source
  KAKENHI-PROJECT-17K05257
[Journal Article] Fox pairings of Poincar? duality groups2024
- Author(s)
  NOSAKA Takefumi
- Journal Title
  
  Hokkaido Mathematical Journal
  
  Volume: 53 Issue: 2 Pages: 209-233
- DOI
  10.14492/hokmj/2022-646
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-24K06708
[Journal Article] Fox pairings of Poincare duality groups2023
- Author(s)
  Takefumi Nosaka
- Journal Title
  
  Hokkaido Mathematical Journal
  
  Volume: 1
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-20K03605
[Journal Article] Cellular Chain Complexes of Universal Covers of Some 3-Manifolds2022
- Author(s)
  Takefumi Nosaka
- Journal Title
  
  J. Math. Sci. Univ. Tokyo
  
  Volume: 29 Pages: 89-113
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03605
[Journal Article] Meta-nilpotent quotients of mapping-torus groups and two topological invariants of quadratic forms2021
- Author(s)
  Nosaka Takefumi
- Journal Title
  
  Osaka Journal of Mathematics
  
  Volume: 58(2) Pages: 351-365
- NAID
  120007027126
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03605
[Journal Article] Twisted Alexander invariants of knot group representations II; computation and duality2020
- Author(s)
  Nosaka Takefumi
- Journal Title
  
  Topology and its Applications
  
  Volume: Available online 16 Pages: 107533-107533
- DOI
  10.1016/j.topol.2020.107533
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03605
[Journal Article] Cocycles of nilpotent quotients of free groups2020
- Author(s)
  Takefumi Nosaka
- Journal Title
  
  Journal of the Mathematical Society of Japan
  
  Volume: 72 Pages: 171-184
- NAID
  130007789869
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05257
[Journal Article] Schur multipliers and second quandle homology2020
- Author(s)
  Bakshi Rhea Palak、Ibarra Dionne、Mukherjee Sujoy、Nosaka Takefumi、Przytycki Jozef H.
- Journal Title
  
  Journal of Algebra
  
  Volume: 552 Pages: 52-67
- DOI
  10.1016/j.jalgebra.2019.12.027
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K03605
[Journal Article] Milnor-Orr Invariants from the Kontsevich Invariant2020
- Author(s)
  Nosaka Takefumi
- Journal Title
  
  Publications of the Research Institute for Mathematical Sciences
  
  Volume: 56 Issue: 1 Pages: 173-193
- DOI
  10.4171/prims/56-1-7
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05257
[Journal Article] Schur multipliers and second quandle homology2019
- Author(s)
  Rhea Palak Bakshi, Dionne Ibarra, Sujoy Mukherjee, Takefumi Nosaka, Jozef H.Przytycki
- Journal Title
  
  Journal of Algebra
  
  Volume: 15 Pages: 52-67
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05257
[Journal Article] de Rham theory and cocycles of cubical sets from smooth quandles2019
- Author(s)
  Takefumi Nosaka
- Journal Title
  
  Kodai Mathematical Journal
  
  Volume: 42 Issue: 1 Pages: 111-129
- DOI
  10.2996/kmj/1552982509
- NAID
  130007620569
- ISSN
  0386-5991, 1881-5472
- Year and Date
  2019-03-18
- Language
  English
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05257
[Journal Article] Twisted cohomology pairings of knots I; diagrammatic computation2017
- Author(s)
  Takefumi Nosaka
- Journal Title
  
  Geometriae Dedicata
  
  Volume: 186 Issue: 1 Pages: 139-160
- DOI
  10.1007/s10711-017-0221-5
- Data Source
  KAKENHI-PROJECT-25800049
[Journal Article] Longitudes in SL_2 representations of knot groups and Milnor-Witt K_2 groups of fields2017
- Author(s)
  Takefumi Nosaka
- Journal Title
  
  Annals of K-Theory.
  
  Volume: 2 Issue: 2 Pages: 211-233
- DOI
  10.2140/akt.2017.2.211
- Data Source
  KAKENHI-PROJECT-25800049
[Journal Article] Bilinear-form invariants of Lefschetz-fibrations over the 2-sphere2017
- Author(s)
  Takefumi Nosaka
- Journal Title
  
  Journal of Gokova Geometry Topology
  
  Volume: 11 Pages: 32-55
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K05257
[Journal Article] Central extensions of groups and adjoint groups of quandles2017
- Author(s)
  Takefumi Nosaka
- Journal Title
  
  RIMS KOKYUROKU
  
  Volume: B66
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K05257
[Journal Article] Homotopical interpretation of link invariants from finite quandles2015
- Author(s)
  Takefumi Nosaka
- Journal Title
  
  Topology Appl.
  
  Volume: 193 Pages: 1-30
- DOI
  10.1016/j.topol.2015.05.087
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25800049
[Journal Article] On third homologies of group and of quandle via the Dijkgraaf-Witten invariant and Inoue-Kabaya map2014
- Author(s)
  Takefumi Nosaka
- Journal Title
  
  Algebraic & Geometric Topology
  
  Volume: 14 Issue: 5 Pages: 2655-2692
- DOI
  10.2140/agt.2014.14.2655
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-25800049
[Journal Article] Quandle cocycles from invariant theory2013
- Author(s)
  Takefumi Nosaka
- Journal Title
  
  Algebraic and Geometric Topology
  
  Volume: 245 Pages: 423-438
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25800049
[Presentation] べき零的結び目不変量と写像類群のジョンソン準同型2022
- Author(s)
  野坂武史
- Organizer
  日本数学会 2022 年春季総合分科
- Invited
- Data Source
  KAKENHI-PROJECT-20K03605
[Presentation] ポアンカレ双対群の Fox ペアリング2022
- Author(s)
  野坂武史
- Organizer
  日本数学会 2022 年春季総合分科
- Data Source
  KAKENHI-PROJECT-20K03605
[Presentation] Meta-nilpotent knot invariants and symplectic automorphism groups of free nilpotent groups2021
- Author(s)
  野坂武史
- Organizer
  日本数学会 2021 年秋季総合分科
- Data Source
  KAKENHI-PROJECT-20K03605
[Presentation] 絡み目のK1-値捩れAlexander 多項式2020
- Author(s)
  野坂武史
- Organizer
  日本数学会
- Data Source
  KAKENHI-PROJECT-17K05257
[Presentation] 幾つかの3 次元多様体の普遍被覆空間のセル複体2020
- Author(s)
  野坂武史
- Organizer
  日本数学会2020 年度秋季総合分科
- Data Source
  KAKENHI-PROJECT-20K03605
[Presentation] SL2(R)-Casson 不変量とライデマイスタートーション2020
- Author(s)
  野坂武史
- Organizer
  日本数学会2020 年度秋季総合分科
- Data Source
  KAKENHI-PROJECT-20K03605
[Presentation] de Rham theory and cocycles of cubical sets from smooth quandles2018
- Author(s)
  野坂武史
- Organizer
  日本数学会2018 年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-17K05257
[Presentation] ３次元トポロジーのべき零的研究2018
- Author(s)
  野坂武史
- Organizer
  日本数学会2018 年度春季総合分科会
- Invited
- Data Source
  KAKENHI-PROJECT-17K05257
[Presentation] 自由群のべき零商の群コサイクル2017
- Author(s)
  野坂武史
- Organizer
  日本数学会2017 年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-17K05257
[Presentation] べき単的マグナス展開を用いたMilnor 不変量2017
- Author(s)
  野坂武史
- Organizer
  日本数学会2017 年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-17K05257
[Presentation] 写像類群の中心拡大に関よる有限表示2015
- Author(s)
  野坂武史
- Organizer
  日本数学会トポロジー分科会
- Place of Presentation
  明治大学
- Year and Date
  2015-03-23
- Data Source
  KAKENHI-PROJECT-25800049
[Presentation] Blanchfield pairingと捩れMilnor符号数の図的計算法2015
- Author(s)
  野坂武史
- Organizer
  日本数学会トポロジー分科会
- Place of Presentation
  明治大学
- Year and Date
  2015-03-21
- Data Source
  KAKENHI-PROJECT-25800049
[Presentation] カンドル理論による双線型形式値の低次元位相不変量2014
- Author(s)
  野坂武史
- Organizer
  春季総合分科会　2013 日本数学会トポロジー分科会特別講演
- Place of Presentation
  学習院大学
- Invited
- Data Source
  KAKENHI-PROJECT-25800049
[Presentation] Cocycle invariants of Lefschetz fibrations over the 2-sphere2013
- Author(s)
  Takefumi Nosaka
- Organizer
  The 5th KOOKTAPU Joint Seminar on Knots and Related Topics
- Place of Presentation
  大阪市立大学
- Invited
- Data Source
  KAKENHI-PROJECT-25800049
[Presentation] Longitudes in SL 2 -representation spaces of knot groups and Milnor-Witt K2-groups of fields2013
- Author(s)
  Takefumi Nosaka
- Organizer
  The Quantum Topology and Hyperbolic Geometry Conference
- Place of Presentation
  ベトナム、ニャチャン、ヤサカホテル
- Invited
- Data Source
  KAKENHI-PROJECT-25800049

Nosaka Takefumi 野坂 武史

Takefumi Nosaka 野坂 武史

Research Projects

Research Products

Various studies of Chern-Simons theory from 3-dimensional geometric cohomologyPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Nilpotent study of 3-dimensional topologyPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Algebraic topology of quandles, and its application to low dimensional topologyPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Characteristic classes of quandles, and its applications to low dimensional topologyPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Book] Quandles and Topological Pairs---- Symmetry, Knots, and Cohomology2017

Author(s)

Total Pages

Publisher

ISBN

Data Source

[Journal Article] Fox pairings of Poincar? duality groups2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Fox pairings of Poincare duality groups2023

Author(s)

Journal Title

Data Source

[Journal Article] Cellular Chain Complexes of Universal Covers of Some 3-Manifolds2022

Author(s)

Journal Title

Data Source

[Journal Article] Meta-nilpotent quotients of mapping-torus groups and two topological invariants of quadratic forms2021

Author(s)

Journal Title

NAID

Data Source

[Journal Article] Twisted Alexander invariants of knot group representations II; computation and duality2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Cocycles of nilpotent quotients of free groups2020

Author(s)

Journal Title

NAID

Data Source

[Journal Article] Schur multipliers and second quandle homology2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Milnor-Orr Invariants from the Kontsevich Invariant2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Schur multipliers and second quandle homology2019

Author(s)

Journal Title

Data Source

[Journal Article] de Rham theory and cocycles of cubical sets from smooth quandles2019

Author(s)

Journal Title

DOI

Nosaka Takefumi 野坂武史

Takefumi Nosaka 野坂武史