The contact invariant in sutured Floer homology

被引：44
|
作者：
Honda, Ko [1 ]
Kazez, William H. [2 ]
Matic, Gordana [2 ]
机构：
[1] Univ So Calif, Los Angeles, CA 90089 USA
[2] Univ Georgia, Athens, GA 30602 USA
来源：
INVENTIONES MATHEMATICAE | 2009年 / 176卷 / 03期
基金：
美国国家科学基金会;
关键词：
HOLOMORPHIC DISKS;
D O I：
10.1007/s00222-008-0173-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We describe an invariant of a contact 3-manifold with convex boundary as an element of Juhasz's sutured Floer homology. Our invariant generalizes the contact invariant in Heegaard Floer homology in the closed case, due to Ozsvath and SzabA(3).
引用
收藏
页码：637 / 676
页数：40
相关论文
共 50 条
  • [1] The contact invariant in sutured Floer homology
    Ko Honda
    William H. Kazez
    Gordana Matić
    Inventiones mathematicae, 2009, 176 : 637 - 676
  • [2] Contact handles, duality, and sutured Floer homology
    Juhasz, Andras
    Zemke, Ian
    GEOMETRY & TOPOLOGY, 2020, 24 (01) : 179 - 307
  • [3] Contact structures, excisions and sutured monopole Floer homology
    Li, Zhenkun
    ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2020, 20 (05): : 2553 - 2588
  • [4] On the equivalence of contact invariants in sutured Floer homology theories
    Baldwin, John A.
    Sivek, Steven
    GEOMETRY & TOPOLOGY, 2021, 25 (03) : 1087 - 1164
  • [5] A CONTACT INVARIANT IN SUTURED MONOPOLE HOMOLOGY
    Baldwin, John A.
    Sivek, Steven
    FORUM OF MATHEMATICS SIGMA, 2016, 4 : 1 - 82
  • [6] The decategorification of sutured Floer homology
    Friedl, Stefan
    Juhasz, Andras
    Rasmussen, Jacob
    JOURNAL OF TOPOLOGY, 2011, 4 (02) : 431 - 478
  • [7] SUTURED FLOER HOMOLOGY AND HYPERGRAPHS
    Juhasz, Andras
    Kalman, Tamas
    Rasmussen, Jacob
    MATHEMATICAL RESEARCH LETTERS, 2012, 19 (06) : 1309 - 1328
  • [8] The sutured Floer homology polytope
    Juhasz, Andras
    GEOMETRY & TOPOLOGY, 2010, 14 (03) : 1303 - 1354
  • [9] A refinement of sutured Floer homology
    Alishahi, Akram S.
    Eftekhary, Eaman
    JOURNAL OF SYMPLECTIC GEOMETRY, 2015, 13 (03) : 609 - 743
  • [10] On Gradings in Khovanov homology and sutured Floer homology
    Grigsby, J. Elisenda
    Wehrli, Stephan M.
    TOPOLOGY AND GEOMETRY IN DIMENSION THREE: TRIANGULATIONS, INVARIANTS, AND GEOMETRIC STRUCTURES, 2011, 560 : 111 - +
12345