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math.DG2000
An explicit isomorphism between Floer homology and quantum homology
Guangcun Lu
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…
math.DG2000
The Weinstein conjecture in the uniruled manifolds
Guangcun Lu
In this note we prove the Weinstein conjecture for a class of symplectic manifolds including the uniruled manifolds based on Liu-Tian's result.
math.DG1999
Periodic motion of a charge on a manifold in the magnetic fields
Guangcun Lu
In this paper we prove the existence of a periodic motion of a charge on a large class of manifolds under the action of the magnetic fields. Our methods also give a class of closed…
math.DG1999
Gromov-Witten invariants and rigidity of Hamiltonian loops with compact support on noncompact symplectic manifolds
Guangcun Lu
In this paper the Gromov-Witten invariants on a class of noncompact symplectic manifolds are defined by combining Ruan-Tian's method with that of McDuff-Salamon. The main point of…