Organization
School of Science Professor
Title
Professor
External link
ENDO HISAAKI
Degree
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Doctor (Science) ( Osaka University )
Research Interests
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４次元多様体
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4-manifold
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Topology
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Mapping class group
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写像類群
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位相幾何学
Research Areas
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Natural Science / Geometry
Education
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Osaka University Graduate School, Division of Natural Science
- 1997
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Osaka University
- 1997
Country： Japan
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Osaka University Faculty of Science
- 1991
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Osaka University School of Science Department of Mathematics
- 1991
Country： Japan
Research History
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Osaka University Graduate School of Science, Department of Mathematics
2003 - 2004
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Associate Professor, Graduate School of Science,
2003 - 2004
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Tokyo Institute of Technology Graduate School of Science and Engineering, Department of Mathematics
2000 - 2003
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Research Associate, Graduate School of Science
2000 - 2003
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ミュンヘン大学 研究員
1999 - 2000
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Researcher, Mathematisches Institute der
1999 - 2000
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日本学術振興会 特別研究員
1996 - 1998
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JSPS Research Fellow
1996 - 1998
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and Engineering, Tokyo Institute of Technology
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Osaka University
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Universitaet Muenchen
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Osaka University Graduate School of Science, Department of Mathematics Associate Professor
Professional Memberships
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Mathematical Society of Japan
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日本数学会
MISC
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Constructions and modifications of Lefschetz fibrations
2011
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Lefschetzファイバー空間の構成と改変について
2011
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Lefschetzファイバー空間に関するいくつかの話題
2011
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Monodromy substitutions and rational blowdowns
Hisaaki Endo, Thomas E. Mark, Jeremy Van Horn-Morris
JOURNAL OF TOPOLOGY 4 ( 1 ) 227 - 253 2011
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Several topics on Lefschetz fibrations
2011
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Modifications of 4-manifolds via relations in mapping class groups
2010
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Signature of Lefschetz fibrations and related topics
2010
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Signature of Lefschetz fibrations and related topics
2010
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Lantern relations and rational blowdowns
Proceedings of the American Mathematical Society Vol. 138, No. 3, 1131-1142 2010
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Lantern relations and rational blowdowns
Proceedings of the American Mathematical Society Vol. 138, No. 3, 1131-1142 2010
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写像類群の関係式による４次元多様体の改変について
2010
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Lantern relations, substitutions, and rational blowdowns of Lefschetz fibrations
2009
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Lantern relations and rational blowdowns
2009
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Invariants and constructions of Lefschetz fibrations
2009
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Lantern relations, substitutions, and rational blowdowns of Lefschetz fibrations
2009
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Lantern relations and rational blowdowns
2009
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Invariants and constructions of Lefschetz fibrations
2009
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A generalization of Chakiris' fibrations
Advanced Studies in Pure Mathematics 52 (2008), 251-282 2008
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A generalization of Chakiris' fibrations
Advanced Studies in Pure Mathematics 52 (2008), 251-282 2008
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Failure of separation by quasi-homomorphisms in mapping class groups
Proceedings of the American Mathematical Society Vol. 135, No. 9, 2747--2750 2007
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Lefschetzファイバー空間と４次元多様体の微分構造
2007
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Lefschetzファイバー空間の微分構造とその安定化
2007
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Failure of separation by quasi-homomorphisms in mapping class groups
Proceedings of the American Mathematical Society Vol. 135, No. 9, 2747--2750 2007
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Various aspects of degenerate families of Riemann surfaces
Sugaku Expositions 2006
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Various aspects of degenerate families of Riemann surfaces
Sugaku Expositions 2006
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A generalization of Chakiris' fibrations
2006
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Chakirisの1/19定理への位相的なアプローチについて
2006
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A generalization of Chakiris' fibrations
2006
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Lefschetz ファイバー空間の正則性について
2005
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Signature of relations in mapping class groups and non-holomorphic Lefschetz fibrations
Transactions of American Mathematical Society 2005
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写像類群の表示とレフシェツ・ファイバー空間の不変量
2005
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Signature of Lefschetz fibrations and relations in mapping class groups
2005
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Signature of relations in mapping class groups and non-holomorphic Lefschetz fibrations
Transactions of American Mathematical Society 2005
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Signature of Lefschetz fibrations and relations in mapping class groups
2005
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Presentations of mapping class groups and invariants of Lefschetz fibrations
2005
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On the holomorphicity of Lefschetz fibrations
2005
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Lefschetzファイバー空間のgeographyについて
2004
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リーマン面の退化族の諸相（共著）
数学 56 2004
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Presentations of mapping class groups and invariants of Lefschetz fibrations
2004
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写像類群の表示と Lefschetz ファイバー空間の不変量
2004
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New examples of non-holomorphic Lefschetz fibrations of low genus
2003
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New examples of non-holomorphic Lefschetz fibrations of low genus
2003
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Commutators, Lefschetz fibrations and the signatures of surface bundles
H Endo, M Korkmaz, D Kotschick, B Ozbagci, A Stipsicz
TOPOLOGY 41 ( 5 ) 961 - 977 2002.9
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Signature of lantern relations
数理解析研究所講究録 1290 54 - 69 2002
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Commutators, Lefschetz fibrations and the signatures of surface bundles (jointly worked)
Topology 41 961 - 977 2002
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Bounded cohomology and non-uniform perfection of mapping class groups
H Endo, D Kotschick
INVENTIONES MATHEMATICAE 144 ( 1 ) 169 - 175 2001.4
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Meyer's signature cocycle and hyperelliptic fibrations
H Endo
MATHEMATISCHE ANNALEN 316 ( 2 ) 237 - 257 2000.2
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Meyer's signature cocycle and hyperelliptic fibrations
Hisaaki Endo
Mathematische Annalen 316 ( 2 ) 237 - 257 2000
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Bounded cohomology and non-uniform perfection of mapping class groups
Inventiones mathematicae 144 961 - 977 2000
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A construction of surface bundles over surfaces with non-zero signature
H Endo
OSAKA JOURNAL OF MATHEMATICS 35 ( 4 ) 915 - 930 1998.12
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マイヤーの符号数コサイクルと超楕円的ファイブレーション
リーマン面に関連する位相幾何学予稿集 27 - 34 1998
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A construction of surface bundles over surfaces with non-zero signature
Osaka Journal of Mathematics 35 915 - 930 1998
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超楕円的ファイブレーションの局所符号数について
日本数学会1998年度秋季総合分科会トポロジー分科会講演アブストラクト 37 - 38 1998
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マイヤーの符号数コサイクルと超楕円的ファイブレーション
「Hodge 理論、Log 幾何、退化」 147 - 154 1998
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曲面上の曲面束の符号数について
日本数学会1997年度秋季総合分科会トポロジー分科会講演アブストラクト 101 - 103 1997
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符号数が0でない曲面上の曲面束の一構成法
リーマン面に関連する位相幾何学予稿集 4 - 6 1997
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LINEAR INDEPENDENCE OF TOPOLOGICALLY SLICE-KNOTS IN THE SMOOTH COBORDISM GROUP
H ENDO
TOPOLOGY AND ITS APPLICATIONS 63 ( 3 ) 257 - 262 1995.5
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Linear independence of topologically slice knots in the smooth cobordism group
Topology and its Applications 63 257 - 262 1995
Works
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写像類群の構造と４次元多様体の位相幾何学
2010
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Topology of 4-manifolds and structure of mapping class groups
2010
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写像類群の構造と４次元多様体の位相幾何学
2009
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Topology of 4-manifolds and structure of mapping class groups
2009
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Topology of 4-manifolds and mapping class groups
2006
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写像類群と４次元多様体のトポロジー
2006
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共形場理論とWitten不変量
2004
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４次元多様体の幾何とトポロジー
2004
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曲面の写像類群を用いた４次元多様体のトポロジーの研究
2004
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代数曲線束の諸相
2004
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低次元トポロジーに現れる種々の不変量の研究
2004
Research Projects
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写像類群の関係子の符号数と Lefschetz ファイバー空間
2002
Grant type：Competitive
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Signature of relations in mapping class groups and Lefschetz fibrations
2002
Grant type：Competitive
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写像類群の２次元有界コホモロジー
2000
Grant type：Competitive
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2-dimensional bounded cohomology of mapping class groups
2000
Grant type：Competitive
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超楕円的ファイブレーションの局所符号数
1998
Grant type：Competitive
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The local signature of hyperelliptic fibrations
1998
Grant type：Competitive