A spectral sequence of the floer cohomology of symplectomorphisms of trivial polarization class

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Abstract

Let M be an exact symplectic manifold equal to a symplectization near infinity and having stably trivializable tangent bundle, and φ : M → M be an exact symplectomorphism which, near infinity, is equal to either the identity or the symplectization of a contactomorphism φ such that neither φ nor φ2 has fixed points. We give conditions under which Seidel and Smith's localization theorem for Lagrangian Floer cohomology implies the existence of a spectral sequence from HF(φ2) ⊗ Z2((θ )) to HF(φ) ⊗ Z2((θ )).

Original languageEnglish (US)
Pages (from-to)509-528
Number of pages20
JournalInternational Mathematics Research Notices
Volume2017
Issue number2
DOIs
StatePublished - Jan 1 2017
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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