Acta Mathematica Sinica

, Volume 15, Issue 1, pp 53-80

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

  • Gang LiuAffiliated withDepartment of Mathematics, UCLA
  • , Gang TianAffiliated withDepartment of Mathematics, MIT

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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.


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

1991MR Subject Classification

58F05 53C15