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

Mark Robert Leonard McLean

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

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.
Original languageEnglish
Pages (from-to)473-512
Number of pages39
JournalSelecta Mathematica
Volume18
Issue number3
DOIs
Publication statusPublished - Sep 2012

Keywords

  • symplectic homology
  • Lefschetz fibrations
  • Floer homology
  • mondronomy map
  • primary 53D40
  • secondary 53D35
  • 37J10

Fingerprint Dive into the research topics of 'Symplectic homology of Lefschetz fibrations and Floer homology of the monodromy map'. Together they form a unique fingerprint.

Cite this