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arxiv: math/0209402 · v3 · submitted 2002-09-30 · 🧮 math.SG · math.AG

Family Gromov-Witten Invariants for Kahler Surfaces

classification 🧮 math.SG math.AG
keywords invariantsgromov-wittenhlersurfacesfamilyanalyticclassdefine
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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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