An explicit isomorphism between Floer homology and quantum homology

Guangcun Lu

Vol. 213 (2004), No. 2, 319–363

DOI: 10.2140/pjm.2004.213.319

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.

Milestones

Received: 20 November 2001

Revised: 6 June 2003

Published: 1 February 2004