English

Symplectic Floer homology and the mapping class group

Symplectic Geometry 2007-05-23 v2 Geometric Topology

Abstract

We consider symplectic Floer homology in the lowest nontrivial dimension, that is to say, for area-preserving diffeomorphisms of surfaces. Particular attention is paid to the quantum cap product; we show that it distinguishes the trivial element of the mapping class group from any nontrivial one.

Keywords

Cite

@article{arxiv.math/0010301,
  title  = {Symplectic Floer homology and the mapping class group},
  author = {Paul Seidel},
  journal= {arXiv preprint arXiv:math/0010301},
  year   = {2007}
}

Comments

11 pages, Latex

R2 v1 2026-07-22T16:35:30.595Z