A symplectic Gysin sequence
Symplectic Geometry
2008-07-14 v1 Geometric Topology
Abstract
We use the theory of pseudo-holomorphic quilts to establish a counterpart, in symplectic Floer homology, to the Gysin sequence for the homology of a sphere-bundle. In a motivating class of examples, this "symplectic Gysin sequence" is precisely analogous to an exact sequence describing the behaviour of Seiberg-Witten monopole Floer homology for 3-manifolds under connected sum.
Keywords
Cite
@article{arxiv.0807.1863,
title = {A symplectic Gysin sequence},
author = {Timothy Perutz},
journal= {arXiv preprint arXiv:0807.1863},
year = {2008}
}
Comments
62 pages, 6 figures