Organization
Undergraduate School School of Science and Technology Associate Professor
Title
Associate Professor
External link
Degree
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Ph.D (Mathematical Science) ( The University of Tokyo )
Research Interests
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symplectic geometry
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シンプレクティック幾何
Research Areas
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Natural sciences / Geometry
Papers
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Adiabatic limits, theta functions, and geometric quantization
2018
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Equivariant local index and symplectic cut
RIMS Kôkyûroku 2016 161 - 167 2016
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Torus Fibrations and Localization of Index III Reviewed
Hajime Fujita, Mikio Furuta, Takahiko Yoshida
COMMUNICATIONS IN MATHEMATICAL PHYSICS 327 ( 3 ) 665 - 689 2014.5
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Torus Fibrations and Localization of Index II Reviewed
Hajime Fujita, Mikio Furuta, Takahiko Yoshida
COMMUNICATIONS IN MATHEMATICAL PHYSICS 326 ( 3 ) 585 - 633 2014.3
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The equivariant local index of the reduced space in the symplectic cutting
MIMS Technical Report 00044 1 - 7 2014
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Equivariant local index Invited Reviewed
RIMS Kôkyûroku Bessatsu B39 215 - 232 2013
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Geodesic flows on spheres and the local Riemann-Roch numbers
Hajime Fujita, Mikio Furuta, Takahiko Yoshida
UTMS Preprint Series 2012-12 1 - 12 2012
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Local torus actions modeled on the standard representation Reviewed
Takahiko Yoshida
ADVANCES IN MATHEMATICS 227 ( 5 ) 1914 - 1955 2011.8
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Equivariant local index
Takahiko Yoshida
MIMS Technical Report ( 00037 ) 2011
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Torus fibrations and localization of index
93-97 2010
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RR=#BS via localization of index
MIMS Technical Report ( 00029 ) 41 pages 2010
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Torus fibrations and localization of index I Reviewed
Hajime Fujita, Mikio Furuta, Takahiko Yoshida
J. Math. Sci. Univ. Tokyo 17 ( 1 ) 1 - 26 2010
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RR=#BS via localization of index,
Trends in Mathematics 12 ( 1 ) 1-41 2010
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On manifolds which are locally modeled on the standard representation of a torus Reviewed
Takahiko Yoshida
Adv. Stud. Pure Math. 55 353 - 363 2009
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On liftings of local torus actions to fiber bundles Reviewed
Takahiko Yoshida
Contemp. Math. 460 391 - 401 2008
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Locally standard torus fibrations
Takahiko Yoshida
Proceedings of 33rd Symposium on Transformation Groups 107 - 118 2007
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On the existence of symplectic structures compatible with local torus actions
Takahiko Yoshida
Proceedings of 34th Symposium on Transformation Groups 91 - 96 2007
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On local torus actions modeled on the standard representation
Takahiko Yoshida
RIMS Kôkyûroku ( 1569 ) 94 - 106 2007
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Twisted toric structures
Takahiko Yoshida
UTMS Preprint ( 2006-10 ) 40 2006
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点付きリーマン面上の平坦接続のモジュライの幾何学的量子化について
第50回トポロジーシンポジウム講演集 121 - 130 2003
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Symplectic toric space associated to triangle inequalities Reviewed
Y Kamiyama, T Yoshida
GEOMETRIAE DEDICATA 93 ( 1 ) 25 - 36 2002.8
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Yoshida Takahiko
J. Math. Sci. Univ. Tokyo 8 ( 3 ) 541 - 558 2001
Books
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Twisted toric structures
Takahiko Yoshida（ Role： Sole author）
2006
Presentations
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Adiabatic limits, theta functions, and geometric quantization Invited
Takahiko Yoshida
Symplectic Geometry Seminar 2018.10 Yael Karshon
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Adiabatic limits, theta functions, and geometric quantization Invited
Takahiko Yoshida
研究集会“変換群論における幾何・代数・組み合わせ論” 2018.6 黒木慎太郎
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Adiabatic limits, theta functions, and geometric quantization of Lagrangian fibrations
Takahiko Yoshida
Toric Topology 2017 in Osaka 2017.12 Mikiya Masuda
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Theory of local index and its applications Invited International conference
Takahiko Yoshida
Workshop on loop spaces, supersymmetry and index theory 2017.7 Weiping Zhang, Xiaonan Ma, Huitao Feng, Fei Han
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Theory of local index and its applications Invited
Takahiko Yoshida
水戸幾何セミナー 2016.6 入江博
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Equivariant local index and symplectic cut Invited
Takahiko Yoshida
研究集会“新しい変換群論とその周辺” 2016.5 藤田亮介
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Theory of local index and its applications Invited
Takahiko Yoshida
微分幾何学・トポロジーセミナー 2015.12 服部広大
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Theory of local index and its applications Invited
Takahiko Yoshida
首都大学幾何学セミナー 2015.6 高津飛鳥
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Torus fibrations and localization of index Invited
Takahiko Yoshida
Mini-workshop on Topological State and Non-commutative Geometry 2015.3 小谷元子
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Torus fibrations and localization of index International conference
Takahiko Yoshida
ICM 2014, Satellite Conference -Topology of Torus actions and applications to Geometry and Combinatorics 2014.8 Dong Youp Suh
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Torus fibrations and localization of index Invited International conference
Takahiko Yoshida
NCTS (South) Geometry Conference - Mathematical New Goals 2014.7 River Chiang
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Equivariant local index and symplectic cut Invited International conference
Takahiko Yoshida
The 5th International Conference on Geometry and Quantization 2013.8 Martin Schlichenmaier
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Torus fibrations and localization of index Invited International conference
Takahiko Yoshida
UK-Japan Mathematical Forum 2013.1 Yoshiaki Maeda
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Torus fibrations and localization of index Invited
Takahiko Yoshida
信州トポロジーセミナー 2012.12 境圭一
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Equivariant local index International conference
Takahiko Yoshida
Toric Topology 2011 in Osaka 2011.11 Mikiya Masuda
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Equivariant local index Invited International conference
Takahiko Yoshida
The 4th International Conference on Geometry and Quantization 2011.9 Weiping Zhang
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Equivariant local index Invited International conference
Takahiko Yoshida
International Conference "Toric Topology and Automorphic Functions" 2011.9 V. Buchstaber
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Equivariant local index
Geometry of Transformation groups and Combinatorics 2011.6
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Equivariant local index and quantization conjecture
Takahiko Yoshida
Toric Geometry, Toric topology, and Combinatorics 2010.12 Mikiya Masuda
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Torus fibrations and localization of index Invited International conference
Takahiko Yoshida
The International Conference "Geometry, Topology, Algebra and Number Theory, Applications" 2010.8 V. Buchstaber
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Torus fibrations and localization of index Invited
2010.8
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Torus fibrations and localization of index Invited
Takahiko Yoshida
研究集会“非可換幾何と数理物理” 2010.7 郡敏昭
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Torus fibrations and localization of index Invited International conference
Takahiko Yoshida
Workshop on Toric Topology and Related Topics 2010.5 Zhi Lü, Jiming Ma
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Torus fibrations and localization of index Invited
2010.4
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RR=#BS via localization of index Invited International conference
Takahiko Yoshida
KAIST Toric Topology Workshop 2010 2010.2 Dong Youp Suh
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Torus fibrations and localization of index Invited
2009.12
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Torus fibrations and localization of index Invited
2009.10
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Torus fibrations and localization of index Invited
Geometry for Quantization 2009 2009.9
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Torus fibrations and localization of index International conference
Takahiko Yoshida
Third International Conference on Geometry and Quantization 2009.9 Martin Schlichenmaier
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Acyclic polarizations and localization of Riemann-Roch numbers Invited
2009.6
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Acyclic polarizations and localization of Riemann-Roch numbers
2009.2
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Acyclic polarizations and localization of Riemann-Roch numbers Invited
2009.1
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Acyclic polarizations and localization of Riemann-Roch numbers Invited
Takahiko Yoshida
Geometry Seminar 2008.12 River Chiang
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Acyclic polarizations and localization of Riemann-Roch numbers Invited
Takahiko Yoshida
Fujisan one-day workshop in Geometry and Topology 2008.12 River Chiang
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Acyclic polarizations and localization of Riemann-Roch numbers
Ikuta International workshop on Symplectic Geometry 2008.12
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Acyclic polarizations and localization of Riemann-Roch numbers Invited
2008.12
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Acyclic polarizations and localization of Riemann-Roch numbers
2008.9
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Acyclic polarizations and localization of Riemann-Roch numbers, International conference
Hajime Fujita, Mikio Furuta, Takahiko Yoshida
New Horizons in Toric Topology 2008.7 Victor Buchstaber
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On local torus actions modeled on the standard representation Invited
2008.2
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On counting lattice points and Riemann-Roch numbers in Lagrangian fibrations
Takahiko Yoshida
Symplectic Geometry Seminar 2008.1 Yael Karshon
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On local torus actions modeled on the standard representation Invited
2007.12
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On the existence of symplectic structures compatible with local torus actions
2007.11
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Classification of locally toric lagrangian fibrations
2007.9
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On local torus actions modeled on the standard representation International conference
Takahiko Yoshida
Summer School on Symplectic Geometry and Toric Topology 2007.7 MIkiya Masuda
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On local torus actions modeled on the standard representation
2007.5
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On local torus actions modeled on the standard representation
2007.3
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Locally standard torus fibrations Invited
2006.11
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Locally standard torus fibrations International conference
Takahiko Yoshida
MSJ-IHES Joint Workshop on Noncommutativity 2006.11 Jean-Pierre Bourguignon, Yoshiaki Maeda, Nobuyuki Tose, Motoko Kotani
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Acyclic polarizations and localization of Riemann-Roch numbers International conference
Takahiko Yoshida
New Horizons in Toric Topology 2006.11 Victor Buchstaber, Jelena Grbic, Nigel Ray
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Twisted toric structures International conference
Takahiko Yoshida
International Conference on Toric Topology 2006.5 Mikiya Masuda
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Twisted toric structures Invited
2006.2
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Twisted toric structures Invited
Takahiko Yoshida
トポロジーセミナー 2005.12 石川昌治
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Twisted toric structures Invited
Takahiko Yoshida
トポロジー金曜セミナー 2005.12 西晴子
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Perfect Bott-Morse function on Polygon space Invited International conference
Takahiko Yoshida
International Symposium on Recent Advances in Mathematics and its Applications 2003.12 M. R. Adhikari
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点付きRiemann面上の平坦接続のモジュライの幾何的量子化について Invited
Takahiko Yoshida
第５０回トポロジーシンポジウム 2003.7 枡田幹也，角俊雄
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Symplectic geometry on the moduli space of flat connections on a punctured Riemann surface Invited
Takahiko Yoshida
研究集会“非可換微分幾何と数理物理” 2003.6 前田吉昭
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Symplectic geometry of the moduli space of flat connections on a punctured Riemann surface Invited
Takahiko Yoshida
臨時セミナー 2003.6 小野薫
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Symplectic geometry of the moduli space of parabolic vector bundles Invited
Takahiko Yoshida
幾何学と物理学セミナー 2003.5 郡敏昭，吉岡朗，宮崎直哉，本間泰史
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点付きRiemann面上のフラットバンドルのモジュライの幾何的量子化について
Takahiko Yoshida
日本数学会２００３年度年会・トポロジー分科会 2003.3 日本数学会
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A prequantum line bundle on the moduli space of flat connections on a punctured Riemann surface International conference
Takahiko Yoshida
The 10th Japan-Korea school of knots and links 2003.2 Toshitake Kohno
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点付きリーマン面上の平坦接続のモジュライの幾何学的量子化について Invited
Takahiko Yoshida
火曜トポロジーセミナー 2003.1 河野俊丈，河澄響矢
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On the geometric quantization of the moduli space of flat connections on a Riemann surface with marked points Invited International conference
Takahiko Yoshida
International Symposium on Pure and Applied Mathematics 2002.12 M. R. Adhikari
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フラットバンドルのモジュライのあるコホモロジー交叉積について Invited
Takahiko Yoshida
研究集会 “Symplectic topology” 2001.3 枡田幹也
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Notes on the bending flow on the moduli space of spatial polygons Invited
Takahiko Yoshida
研究集会 “リーマン面に関連する位相幾何学” 2000.9 河澄響矢
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Perfect Bott-Morse Functions on Polygon Spaces
Takahiko Yoshida
研究集会 “Art of low dimensional topology Ⅵ” 2000.1 河野俊丈，河澄響矢
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リーマン面上のフラットバンドルのモジュライのある交叉数の母関数とDuistermaat-Heckman の定理
Takahiko Yoshida
日本数学会１９９９年度秋期総合分科会・トポロジー分科会 1999.9 日本数学会
Research Projects
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A theory of local indices for Dirac-type operators and the geometric quantization
2012.4 - 2015.3
Authorship：Principal investigator Grant type：Competitive
Grant amount：\3510000 （ Direct Cost: \2700000 、 Indirect Cost：\810000 ）
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Localization phenomena on indices of Dirac-type operators and singular Lagrangian fibrations
2010.4 - 2012.3
Grant type：Competitive
Grant amount：\1820000 （ Direct Cost: \1400000 、 Indirect Cost：\420000 ）
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4次元スピン多様体とゲージ理論
2009.4 - 2011.3
基盤研究（C）
亀谷幸生
Grant type：Competitive
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Local torus actions on Lagrangian fibrations
Grant number：20740029 2008.4 - 2010.3
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Young Scientists (B)
YOSHIDA Takahiko
Authorship：Principal investigator Grant type：Competitive
Grant amount：\1820000 （ Direct Cost: \1400000 、 Indirect Cost：\420000 ）
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