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Gromov-Witten invariants and rigidity of Hamiltonian loops with compact support on noncompact symplectic manifolds

Guangcun Lu
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Abstract

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 the arguments is to introduce a method dealing with the transversality problems in the case of noncompact manifolds. Moreover, the techniques are also used to study the topological rigidity of Hamiltonian loops with compact support on a class of noncompact symplectic manifolds.

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Guangcun Lu. 2003-07-20. Gromov-Witten invariants and rigidity of Hamiltonian loops with compact support on noncompact symplectic manifolds. https://arxiv.org/abs/math/9905074

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