A long exact sequence for symplectic Floer cohomology

2001/05/23 by Paul Seidel, Seidel, Paul · 1 citation
Mathematics · #FOS: Mathematics #Symplectic Geometry (math.SG) #math.SG

paper · pdf · doi:10.48550/arxiv.math/0105186

70 pages, 12 eps figures

arxiv created 2002/07/20 · arxiv updated 2009/11/30

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.

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