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Mathematics  2002 

Family Gromov-Witten Invariants for Kahler Surfaces

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Abstract:

The usual Gromov-Witten invariants are zero for K\"{a}hler surfaces with $p_g\geq 1$. In this paper we use analytic methods to define Family Gromov-Witten Invariants for K\"{a}hler surfaces. We prove that these are well-defined invariants of the deformation class of the K\"{a}hler structure.

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