Acta Mathematica Sinica

, Volume 15, Issue 1, pp 53–80

On the equivalence of multiplicative structures in floer homology and quantum homology

Authors

  • Gang Liu
    • Department of MathematicsUCLA
  • Gang Tian
    • Department of MathematicsMIT
Article

DOI: 10.1007/s10114-999-0060-x

Cite this article as:
Liu, G. & Tian, G. Acta Math Sinica (1999) 15: 53. doi:10.1007/s10114-999-0060-x

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.

Keywords

Floer homologyQuantum homologyGW-invariantsJ-holomorphic curvesModuli space

1991MR Subject Classification

58F0553C15

Copyright information

© Springer-Verlag 1999