English

A spectral sequence for symplectic homology

Symplectic Geometry 2011-09-22 v3

Abstract

We construct a spectral sequence converging to symplectic homology of a Lefschetz fibration whose E1 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.

Keywords

Cite

@article{arxiv.1011.2478,
  title  = {A spectral sequence for symplectic homology},
  author = {Mark McLean},
  journal= {arXiv preprint arXiv:1011.2478},
  year   = {2011}
}

Comments

40 pages, 1 figure. Added a minimum principle to address a technical issue

R2 v1 2026-06-21T16:42:00.338Z