An explicit isomorphism between Floer homology and quantum homology

2000/11/30 by Guangcun Lu · 1 citation
Mathematics · #math.DG #math.GT #math.SG #msc:53CR15 #msc:58F05 #msc:58E05 #msc:57R57

paper · pdf

published as Pacific Journal of Mathematics, Vol. 213, No.2, 2004 · Latex, published version

arxiv created 2004/05/21 · arxiv updated 2009/11/30

Abstract

We use Liu-Tian's virtual moduli cycle methods to construct detailedly the explicit isomorphism between Floer homology and quantum homology for any closed symplectic manifold that was first outlined by Piunikhin, Salamon and Schwarz for the case of the semi-positive symplectic manifolds.

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• Degenerate symplectic fixed points and Gromov-Witten invariants

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