Symplectic homology of Lefschetz fibrations and Floer homology of the monodromy map

被引：8

作者：

McLean, Mark

机构：

来源：

SELECTA MATHEMATICA-NEW SERIES | 2012年 / 18卷 / 03期

基金：

美国国家科学基金会;

关键词：

Symplectic homology; Lefschetz fibrations; Floer homology; Monodromy map;

D O I：

10.1007/s00029-011-0079-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct a spectral sequence converging to symplectic homology of a Lefschetz fibration whose E (1) page is related to Floer homology of the monodromy symplectomorphism and its iterates. We use this to show the existence of fixed points of certain symplectomorphisms.

引用

页码：473 / 512

页数：40

共 50 条

[1] Symplectic homology of Lefschetz fibrations and Floer homology of the monodromy map
Mark McLean
[J]. Selecta Mathematica, 2012, 18 : 473 - 512
[2] Lefschetz fibrations and symplectic homology
McLean, Mark
[J]. GEOMETRY & TOPOLOGY, 2009, 13 : 1877 - 1944
[3] Cobordism maps on periodic Floer homology induced by elementary Lefschetz fibrations
Chen, Guanheng
[J]. TOPOLOGY AND ITS APPLICATIONS, 2021, 302
[4] RABINOWITZ FLOER HOMOLOGY AND SYMPLECTIC HOMOLOGY
Cieliebak, Kai
Frauenfelder, Urs
Oancea, Alexandru
[J]. ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 2010, 43 (06): : 957 - 1015
[5] The symplectic Floer homology of composite knots
Li, WP
[J]. FORUM MATHEMATICUM, 1999, 11 (05) : 617 - 646
[6] The growth rate of symplectic Floer homology
Alexander Fel’shtyn
[J]. Journal of Fixed Point Theory and Applications, 2012, 12 : 93 - 119
[7] The growth rate of symplectic Floer homology
Fel'shtyn, Alexander
[J]. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2012, 12 (1-2) : 93 - 119
[8] THE SYMPLECTIC FLOER HOMOLOGY OF A DEHN TWIST
Seidel, Paul
[J]. MATHEMATICAL RESEARCH LETTERS, 1996, 3 (06) : 829 - 834
[9] RATIONAL HOMOLOGY DISK SMOOTHINGS AND LEFSCHETZ FIBRATIONS
Choi, Hakho
[J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2023, 60 (01) : 227 - 253
[10] LAGRANGIAN FLOER HOMOLOGY ON SYMPLECTIC BLOW UPS
Pedroza, Andres
[J]. ASIAN JOURNAL OF MATHEMATICS, 2020, 24 (02) : 239 - 256

← 1 2 3 4 5 →