On the Equivalence of Multiplicative Structures in Floer Homology and Quantum Homology

Gang Liu, Gang Tian

Research output: Contribution to journalArticle

19 Scopus citations

Abstract

In this paper, we will prove that Floer homology equipped with either the intrinsic or exterior product is isomorphic to quantum homology as a ring. We will also prove that GW-invariants in Floer homology and quantum homology are equivalent.

Original languageEnglish (US)
Pages (from-to)53-80
Number of pages28
JournalActa Mathematica Sinica, English Series
Volume15
Issue number1
DOIs
StatePublished - Jan 1 1999

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Keywords

  • Floer homology
  • GW-invariants
  • J-holomorphic curves
  • Moduli space
  • Quantum homology

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