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

Mark McLean

doi:10.1007/s00029-011-0079-6

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

Mark McLean

Mathematics

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

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 language	English
Pages (from-to)	473-512
Number of pages	40
Journal	Selecta Mathematica, New Series
Volume	18
Issue number	3
DOIs	https://doi.org/10.1007/s00029-011-0079-6
State	Published - Aug 2012

Keywords

Floer homology
Lefschetz fibrations
Monodromy map
Symplectic homology

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10.1007/s00029-011-0079-6

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title = "Symplectic homology of Lefschetz fibrations and Floer homology of the monodromy map",

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.",

keywords = "Floer homology, Lefschetz fibrations, Monodromy map, Symplectic homology",

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T1 - Symplectic homology of Lefschetz fibrations and Floer homology of the monodromy map

AU - McLean, Mark

PY - 2012/8

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N2 - 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.

AB - 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.

KW - Floer homology

KW - Lefschetz fibrations

KW - Monodromy map

KW - Symplectic homology

UR - https://www.scopus.com/pages/publications/84865450099

U2 - 10.1007/s00029-011-0079-6

DO - 10.1007/s00029-011-0079-6

M3 - Article

AN - SCOPUS:84865450099

SN - 1022-1824

VL - 18

SP - 473

EP - 512

JO - Selecta Mathematica, New Series

JF - Selecta Mathematica, New Series

IS - 3

ER -

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

Abstract

Keywords

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