NAGAO Kentaro 長尾健太郎

Researcher Number	10585574
Other IDs
Affiliation (based on the past Project Information) *help	2011 – 2016: 名古屋大学, 多元数理科学研究科, 助教 2014: (元)名古屋大学, 大学院多元数理科学研究科, 助教 2010 – 2012: 名古屋大学, 大学院・多元数理科学研究科, 助教 2010: 名古屋大学, 多元数理科学研究所, 助教
Review Section/Research Field	Principal Investigator Algebra Except Principal Investigator Algebra
Keywords	Principal Investigator ポテンシャルの切断 / コホモロジー的Hall代数 / 非可換Donaldson-Thomas理論 / モチーフ的DT理論 / 双曲幾何 / Donaldson-Thomas理論 / 団代数 / 壁越え / ドナルドソン・トーマス理論 Except Principal Investigator 国際情報交流 … More / 国際研究者交流 / 国際情報交換（イギリス、アメリカ、ドイツ） / 国際研究者交流（イギリス、アメリカ、ドイツ） / 国際研究者交流（イギリス、スウェーデン、他） / Auslander-Reiten理論 / 傾理論 / Cohen-Macaulay表現論 / McKay対応 / 三角圏 / クレパント解消 / トーリック幾何学 / クイバーの表現 / 非可換クレパント解消 / マッカイ対応 / 特異点解消 / 商特異点 / Calabi-Yau多様体 / K3曲面 / 代数幾何 / 代数 / モジュライ空間 / 代数学 / 格子理論 / K３曲面 / 代数幾何学 / 数学 / マシュー・ムーンシャイン / マシュー群 / 自己同型 / マシュームーンシャイン / エンリケス曲面 / K3 曲面 / モジュライ / 保型形式 / 格子 / cellular algebra / Borel type subalgebra / 量子群 / 有限表現型 / cyclotomic q-Schur algebra / Ariki-Koide algebra / Intersection cohomology / Kostka関数 / enhanced nilcone / Enhanced nilpotet cone / 円分q-シューア代数 / グリーン関数 / exotic nilcone / Springer対応 / 代数群 / 表現論 / Green関数 / exotic 対称空間 / Kostka多項式 / 対称空間 / 指標層 / 複素鏡映群 / 有限簡約群 Less

３次元カラビ・ヤウ圏と量子二重対数関数Principal Investigator
- Principal Investigator
  
  長尾健太郎
- Project Period (FY)
  2012 – 2013
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Nagoya University
Non-commutative crepant resolution, Orbifold cohomology and generalization of the McKay correspondence
- Principal Investigator
  
  Ito Yukari
- Project Period (FY)
  2011 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Nagoya University
Lattices, automorphic forms, and moduli spaces
- Principal Investigator
  
  KONDO Shigeyuki
- Project Period (FY)
  2010 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (S)
- Research Field
  
  Algebra
- Research Institution
  Nagoya University
Moduli theory and Hall algebraPrincipal Investigator
- Principal Investigator
  
  NAGAO Kentaro
- Project Period (FY)
  2010 – 2011
- Research Category
  
  Grant-in-Aid for Research Activity Start-up
- Research Field
  
  Algebra
- Research Institution
  Nagoya University
Representation theory of algebraic groups, quantum groups and Hecke algebras
- Principal Investigator
  
  SHOJI Toshiaki
- Project Period (FY)
  2008 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Algebra
- Research Institution
  Nagoya University

All 2013 2012 2011 2010 Other

All Journal Article Presentation

[Journal Article] Derived categories of small toric Calabi-Yau 3-folds and counting invariants2012
- Author(s)
  K. Nagao
- Journal Title
  
  The Quarterly Journal of Mathematics
  
  Volume: 63 Issue: 4 Pages: 965-1007
- DOI
  10.1093/qmath/har025
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22224001, KAKENHI-PROJECT-22840023, KAKENHI-PROJECT-23540045, KAKENHI-PROJECT-24740009
[Journal Article] Motivic Donaldson-Thomas invariants of the conifold and the refined topological vertex.2012
- Author(s)
  A. Morisson, S. Mozgovoy, K. Nagao and B. Szendroi
- Journal Title
  
  Adv. Math.
  
  Volume: 230 Pages: 2065-2093
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20244001
[Journal Article] Derived categories of small toric Calabi-Yau 3-folds and curve counting invariants2012
- Author(s)
  K. Nagao
- Journal Title
  
  Q. J. Math.
  
  Volume: 63 Pages: 965-1007
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20244001
[Journal Article] Motivic Donaldson-Thomas invariants of the conifold and the refined topological vertex2012
- Author(s)
  Andrew Morrison, Sergey Mozgovoy, Kentaro Nagao, Balazs Szendroi
- Journal Title
  
  Advances in Mathematics
  
  Volume: 230(掲載確定) Issue: 4-6 Pages: 2065-2093
- DOI
  10.1016/j.aim.2012.03.030
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22224001, KAKENHI-PROJECT-22840023, KAKENHI-PROJECT-23540045, KAKENHI-PROJECT-24740009
[Journal Article] Motivic Donaldson-Thomas invariants of the conifold and the refined topological vertex2012
- Author(s)
  A. Morrison, S. Mozgovoy, K. Nagao, B. Szendroi
- Journal Title
  
  Advances in Mathematics
  
  Volume: 230 Issue: 4-6 Pages: 2048-2064
- DOI
  10.1016/j.aim.2012.04.020
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22224001
[Journal Article] Counting invariant of perverse coherent sheaves and its wall-corssing2011
- Author(s)
  K.Nagao, H.Nakajima
- Journal Title
  
  Int.Math.Res.Notices
  
  Volume: 7(掲載確定) Pages: 3885-3938
- DOI
  10.1093/imrn/rnq195
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22224001, KAKENHI-PROJECT-22840023, KAKENHI-PROJECT-23540045
[Journal Article] Counting invariant of perverse coherent sheaves and its wall-crossing2011
- Author(s)
  K.Nagao
- Journal Title
  
  Int.Math.Research Notices
  
  Volume: 17 Pages: 3885-3938
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20244001
[Journal Article] Non-commutative Donaldson-Thomas invariants and vetex operators2011
- Author(s)
  K.Nagao
- Journal Title
  
  Geometry & Topology
  
  Volume: 15(掲載確定) Issue: 3 Pages: 1509-1543
- DOI
  10.2140/gt.2011.15.1509
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22224001, KAKENHI-PROJECT-22840023, KAKENHI-PROJECT-23540045
[Journal Article] Counting invariant of perverse coherent sheaves and its wall-crossing.2011
- Author(s)
  K. Nagao and H. Nakajima
- Journal Title
  
  Int. Math. Res. Not.
  
  Volume: Vol. 2011 Pages: 3885-3938
- Data Source
  KAKENHI-PROJECT-20244001
[Journal Article] Refinde open noncommutative Donaldson-Thomas invariants for small crepant resolution2011
- Author(s)
  K.Nagao
- Journal Title
  
  Pacific Journal of Mathematics
  
  Volume: 254(掲載確定) Issue: 1 Pages: 173-209
- DOI
  10.2140/pjm.2011.254.173
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22224001, KAKENHI-PROJECT-22840023, KAKENHI-PROJECT-23540045
[Journal Article] Non-commutative topological vertex and wall crossing phenomena2010
- Author(s)
  Kentaro Nagao, Masahito Yamazaki
- Journal Title
  
  Adv. Theor. Math. Phys
  
  Volume: 4 Pages: 1147-1181
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22840023
[Journal Article] Counting invariant of perverse coherent sheaves and its wall-crossing2010
- Author(s)
  Kentaro Nagao
- Journal Title
  
  International Mathematics Research Notices 2010 (online journal)
  
  Volume: 10.1093/imrn/rnq/195
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20244001
[Journal Article] Counting Invariant of Perverse Coherent Sheaves and its Wall-crossing2010
- Author(s)
  K.Nagao, H.Nakajima
- Journal Title
  
  International Mathematics Research Notices 2010
  
  Volume: doi:10.1093/imrn/rnq195
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22224001
[Presentation] ポテンシャル付き箙 , 3 次元 Calabi{Yau 圏及びコホモロジー的 Hall 代数2013
- Author(s)
  Kentaro Nagao
- Organizer
  日本数学会2013年年会
- Place of Presentation
  京都大学
- Invited
- Data Source
  KAKENHI-PROJECT-24740009
[Presentation] Cohomological Hall algebras for 3-Calabi-Yau categories2013
- Author(s)
  Kentaro Nagao
- Organizer
  UK-JAPAN MATHEMATICAL FORUM on Algebraic Geometry and Symplectic Geometry
- Place of Presentation
  慶應大学
- Invited
- Data Source
  KAKENHI-PROJECT-24740009
[Presentation] Hyperbolic 3-manifolds and cluster algebras2012
- Author(s)
  Kentaro Nagao
- Organizer
  Mirror Symmetry and Related Topics
- Place of Presentation
  Kunming University of Science and Technology (KUST)
- Invited
- Data Source
  KAKENHI-PROJECT-24740009
[Presentation] 3次元双曲幾何とクラスター代数2012
- Author(s)
  長尾　健太郎
- Organizer
  集中講義
- Place of Presentation
  東北大学
- Invited
- Data Source
  KAKENHI-PROJECT-23540045
[Presentation] Hyperbolic 3-manifolds and cluster algebras2012
- Author(s)
  Kentaro Nagao
- Organizer
  第7回代数・解析・幾何学セミナー
- Place of Presentation
  鹿児島大学(招待講演)
- Year and Date
  2012-02-16
- Data Source
  KAKENHI-PROJECT-22840023
[Presentation] Donaldson-Thomas theory and mapping class group2012
- Author(s)
  K. Nagao
- Organizer
  Workshop on geometry of derived categories and representation theory. Northwestern University
- Place of Presentation
  Boston, USA.
- Year and Date
  2012-05-03
- Data Source
  KAKENHI-PROJECT-20244001
[Presentation] Donaldson-Thomas theory and mapping class group2012
- Author(s)
  Kentaro Nagao
- Organizer
  Geometry of derived categories and representation theory
- Place of Presentation
  NorthWestern university
- Invited
- Data Source
  KAKENHI-PROJECT-24740009
[Presentation] 3次元双曲幾何とクラスター代数2012
- Author(s)
  長尾　健太郎
- Organizer
  集中講義
- Place of Presentation
  京都大学
- Invited
- Data Source
  KAKENHI-PROJECT-23540045
[Presentation] Hyperbolic 3-manifolds and cluster algebras2012
- Author(s)
  Kentaro Nagao
- Organizer
  第７回代数・解析・幾何学セミナー(招待講演)
- Place of Presentation
  鹿児島大学
- Data Source
  KAKENHI-PROJECT-23540045
[Presentation] 3次元双曲幾何とクラスター代数2012
- Author(s)
  長尾　健太郎
- Organizer
  数理物理サマースクール
- Place of Presentation
  東京大学
- Invited
- Data Source
  KAKENHI-PROJECT-23540045
[Presentation] 3次元双曲幾何とクラスター代数2012
- Author(s)
  Kentaro Nagao
- Organizer
  数理物理サマースクール
- Place of Presentation
  東京大学
- Invited
- Data Source
  KAKENHI-PROJECT-24740009
[Presentation] Hyperbolic 3-manifolds and cluster algebras2012
- Author(s)
  Kentaro Nagao
- Organizer
  Conference on geometry
- Place of Presentation
  RIMS
- Invited
- Data Source
  KAKENHI-PROJECT-24740009
[Presentation] Motivic Hall algebras2011
- Author(s)
  Kentaro Nagao
- Organizer
  Cluster algebras, representation theory, and Poisson geometry
- Place of Presentation
  BIRS, Banff(招待講演)
- Year and Date
  2011-09-05
- Data Source
  KAKENHI-PROJECT-22840023
[Presentation] Motivic Donaldson-Thomas invariants and wall-crossing2011
- Author(s)
  Kentaro Nagao
- Organizer
  Workshop on Derived Categories(招待講演)
- Place of Presentation
  Newton Institute, Cambridge
- Data Source
  KAKENHI-PROJECT-23540045
[Presentation] Motivic Donaldson-Thomas invariants and wall-crossing2011
- Author(s)
  Kentaro Nagao
- Organizer
  Workshop on Derived Categories
- Place of Presentation
  Newton Institute, Cambridge(招待講演)
- Year and Date
  2011-04-16
- Data Source
  KAKENHI-PROJECT-22840023
[Presentation] Refined topological vertex and matrix counting2011
- Author(s)
  Kentaro Nagao
- Organizer
  組合せ論的表現論の拡がり
- Place of Presentation
  RIMS,京都大学(招待講演)
- Year and Date
  2011-10-13
- Data Source
  KAKENHI-PROJECT-22840023
[Presentation] Refined topological vertex and matrix counting2011
- Author(s)
  K.Nagao
- Organizer
  組合せ論的表現論の拡がり
- Place of Presentation
  RIMS
- Year and Date
  2011-10-13
- Data Source
  KAKENHI-PROJECT-22224001
[Presentation] Donaldson-Thomas theory and cluster algebras2011
- Author(s)
  Kentaro Nagao
- Organizer
  Oberwolfach meeting on representation theory of quivers and finite dimensional algebras
- Place of Presentation
  Oberwolfach (Germany)
- Year and Date
  2011-02-13
- Data Source
  KAKENHI-PROJECT-20244001
[Presentation] Motivic Hall algebras2011
- Author(s)
  Kentaro Nagao
- Organizer
  Cluster algebras, representation theory, and Poisson geometry(招待講演)
- Place of Presentation
  BIRS
- Data Source
  KAKENHI-PROJECT-23540045
[Presentation] Motiyic Donaldson-Thomas invariants and wall-crossing2011
- Author(s)
  K.Nagao
- Organizer
  Workshop on Derived Categories
- Place of Presentation
  Newton Institute, Cambridge, UK(招待講演)
- Year and Date
  2011-04-16
- Data Source
  KAKENHI-PROJECT-20244001
[Presentation] Motivic Donaldson-Thomas invariants and wall-crossing2011
- Author(s)
  K. Nagao
- Organizer
  Workshop on derived categories. Newton Institute for mathematical Sciences
- Place of Presentation
  Cambridge, U.K.
- Year and Date
  2011-04-16
- Data Source
  KAKENHI-PROJECT-20244001
[Presentation] Motivic Hall algebra2011
- Author(s)
  Kentaro Nagao
- Organizer
  Cluster algebras, representation theory, and Poissongeometry
- Place of Presentation
  BIRS, Banff
- Year and Date
  2011-09-05
- Data Source
  KAKENHI-PROJECT-22840023
[Presentation] Motiyic Donaldson-Thomas invariants and wall-crossing2011
- Author(s)
  K.Nagao
- Organizer
  Workshop on Derived Categories
- Place of Presentation
  Newton Institute, Cambridge
- Year and Date
  2011-04-16
- Data Source
  KAKENHI-PROJECT-22224001
[Presentation] Refined topological vertex and matrix counting2011
- Author(s)
  Kentaro Nagao
- Organizer
  組合せ論的表現論の拡がり(招待講演)
- Place of Presentation
  RIMS
- Data Source
  KAKENHI-PROJECT-23540045
[Presentation] Donaldson-Thomas theory and cluster algebras2011
- Author(s)
  Kentaro Nagao
- Organizer
  Representation Theory of Quivers and Finite Dimensional Algebras
- Place of Presentation
  Mathematisches Forschungsinstitut Oberwolfach
- Year and Date
  2011-02-23
- Data Source
  KAKENHI-PROJECT-22224001
[Presentation] Motivic Hall algebras2011
- Author(s)
  K.Nagao
- Organizer
  Cluster algebras, representation theory, and Poisson geometry
- Place of Presentation
  BIRS
- Year and Date
  2011-09-05
- Data Source
  KAKENHI-PROJECT-22224001
[Presentation] Cluster transformations and their quantization2010
- Author(s)
  K. Nagao
- Organizer
  Japan-China workshop on geometry.
- Place of Presentation
  Xi-an, China.
- Year and Date
  2010-09-07
- Data Source
  KAKENHI-PROJECT-20244001
[Presentation] Cluster transformations and their quantization2010
- Author(s)
  Kentaro Nagao
- Organizer
  日中幾何学研究会
- Place of Presentation
  Xian (China)
- Year and Date
  2010-09-07
- Data Source
  KAKENHI-PROJECT-20244001
[Presentation] ポテンシャル付き箙，3 次元Calabi-Yau 圏及びコホモロジー的Hall 代数
- Author(s)
  長尾　健太郎
- Organizer
  日本数学会2013年年会
- Place of Presentation
  京都大学
- Invited
- Data Source
  KAKENHI-PROJECT-23540045
[Presentation] 3次元双曲幾何とクラスター代数
- Author(s)
  長尾　健太郎
- Organizer
  火曜トポロジーセミナー
- Place of Presentation
  東京大学
- Invited
- Data Source
  KAKENHI-PROJECT-23540045
[Presentation] Hyperbolic 3-manifolds and cluster algebras
- Author(s)
  長尾　健太郎
- Organizer
  数理物理セミナー
- Place of Presentation
  名古屋大学
- Invited
- Data Source
  KAKENHI-PROJECT-23540045
[Presentation] Hyperbolic 3-manifolds and cluster algebras
- Author(s)
  Kentaro Nagao
- Organizer
  数理物理セミナー
- Place of Presentation
  名古屋大学
- Invited
- Data Source
  KAKENHI-PROJECT-24740009
[Presentation] Donaldson-Thomas theory and mapping class group
- Author(s)
  長尾　健太郎
- Organizer
  Geometry of derived categories and representation theory
- Place of Presentation
  NorthWestern university
- Invited
- Data Source
  KAKENHI-PROJECT-23540045
[Presentation] Hyperbolic 3-manifolds and cluster algebras
- Author(s)
  Kentaro Nagao
- Organizer
  トポロジー火曜セミナー
- Place of Presentation
  東京大学
- Invited
- Data Source
  KAKENHI-PROJECT-24740009
[Presentation] Hyperbolic 3-manifolds and cluster algebras
- Author(s)
  長尾　健太郎
- Organizer
  Conference on geometry
- Place of Presentation
  RIMS
- Invited
- Data Source
  KAKENHI-PROJECT-23540045
[Presentation] Cohomological Hall algebras for 3-Calabi-Yau categories
- Author(s)
  長尾　健太郎
- Organizer
  UK-JAPAN MATHEMATICAL FORUM on Algebraic Geometry and Symplectic Geometry
- Place of Presentation
  慶応義塾大学
- Invited
- Data Source
  KAKENHI-PROJECT-23540045
[Presentation] Hyperbolic 3-manifolds and cluster algebras
- Author(s)
  Kentaro Nagao
- Organizer
  DMM Seminar
- Place of Presentation
  Kavli IPMU
- Invited
- Data Source
  KAKENHI-PROJECT-24740009
[Presentation] Hyperbolic 3-manifolds and cluster algebras
- Author(s)
  長尾　健太郎
- Organizer
  DMM Seminar
- Place of Presentation
  Kavli IPMU
- Invited
- Data Source
  KAKENHI-PROJECT-23540045

1. IYAMA Osamu (70347532)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
2. MIYACHI Hyoe (90362227)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
3. ITO Yukari (70285089)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
4. SHOJI Toshiaki (40120191)

# of Collaborated Projects: 1 results

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5. OKADA Soichi (20224016)

# of Collaborated Projects: 1 results

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6. ISHI Hideyuki (00326068)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. KOMORI Ysushi (80343200)

# of Collaborated Projects: 1 results

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8. SHINODA Ken-ichi (20053712)

# of Collaborated Projects: 1 results

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9. TANISAKI Toshiyuki (70142916)

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10. KANEDA Masaharu (60204575)

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11. ATIKI Susumu (40212641)

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12. WADA Kentaro (60583862)

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13. KONDO Shigeyuki (50186847)

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14. EGUCHI Toru (20151970)

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15. MA Shohei (80633255)

# of Collaborated Projects: 1 results

# of Collaborated Products: 2 results
16. KANNO Hiroaki (90211870)

# of Collaborated Projects: 1 results

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17. MUKAI Shigeru (80115641)

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18. SHIMADA Ichiro (10235616)

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19. OGISO Keiji (40224133)

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20. YOSHIKAWA Kenichi (20242810)

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21. MIYAMOTO Masahiko (30125356)

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22. ISHII Akira (10252420)

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23. YOSHIDA Ken-ichi (80240802)

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24. YASUDA Takehiko (30507166)

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25. CRAW Alastair

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26. WEMYSS Michael

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# of Collaborated Products: 0 results

NAGAO Kentaro 長尾 健太郎

Research Projects

Research Products

Co-Researchers

３次元カラビ・ヤウ圏と量子二重対数関数Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Non-commutative crepant resolution, Orbifold cohomology and generalization of the McKay correspondence

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Lattices, automorphic forms, and moduli spaces

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Moduli theory and Hall algebraPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Representation theory of algebraic groups, quantum groups and Hecke algebras

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Derived categories of small toric Calabi-Yau 3-folds and counting invariants2012

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Motivic Donaldson-Thomas invariants of the conifold and the refined topological vertex.2012

Author(s)

Journal Title

Data Source

[Journal Article] Derived categories of small toric Calabi-Yau 3-folds and curve counting invariants2012

Author(s)

Journal Title

Data Source

[Journal Article] Motivic Donaldson-Thomas invariants of the conifold and the refined topological vertex2012

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Motivic Donaldson-Thomas invariants of the conifold and the refined topological vertex2012

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Counting invariant of perverse coherent sheaves and its wall-corssing2011

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Counting invariant of perverse coherent sheaves and its wall-crossing2011

Author(s)

Journal Title

Data Source

[Journal Article] Non-commutative Donaldson-Thomas invariants and vetex operators2011

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Counting invariant of perverse coherent sheaves and its wall-crossing.2011

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[Journal Article] Refinde open noncommutative Donaldson-Thomas invariants for small crepant resolution2011

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NAGAO Kentaro 長尾健太郎

[Presentation] ポテンシャル付き箙 , 3 次元 Calabi{Yau 圏及びコホモロジー的 Hall 代数2013