A Floer-Gysin exact sequence for Lagrangian submanifolds

被引：16
作者：
Biran, Paul [1 ]
Khanevsky, Michael [2 ]
机构：
[1] ETH, Dept Math, CH-8092 Zurich, Switzerland
[2] Univ Chicago, Dept Math, Chicago, IL 60637 USA
来源：
COMMENTARII MATHEMATICI HELVETICI | 2013年 / 88卷 / 04期
基金：
以色列科学基金会;
关键词：
Symplectic geometry; symplectic topology; Lagrangian submanifold; Floer homology; quantum homology; RIGIDITY;
D O I：
10.4171/CMH/307
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We establish a Floer-theoretical analog of the classical Gysin long exact sequence from algebraic topology for circle bundles. We study algebraic and functorial properties of this sequence and derive applications to computations of Lagrangian Floer homologies as well as to questions on the topology of Lagrangian submanifolds.
引用
收藏
页码：899 / 952
页数：54
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