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Journal Articles Topology Year : 2003

A long exact sequence for symplectic Floer cohomology

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Abstract

The long exact sequence describes how the Floer cohomology of two Lagrangian submanifolds changes if one of them is modified by applying a Dehn twist. We give a proof in the simplest case (no bubbling). The paper contains a certain amount of material that may be of interest independently of the exact sequence: in particular, chapter 1 covers "symplectic Picard-Lefschetz theory" in some detail, and chapter 2 contains a generalization of the usual TQFT setup for Floer cohomology.

Dates and versions

hal-00115740 , version 1 (22-11-2006)

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Paul Seidel. A long exact sequence for symplectic Floer cohomology. Topology, 2003, 42, pp.1003-1063. ⟨hal-00115740⟩
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