Family Gromov-Witten Invariants for Kahler Surfaces

Details Family Gromov-Witten Invariants for Kahler Surfaces Family Gromov-Witten Invariants for Kahler Surfaces

2002-09-30

arxiv.org/abs/math/0209402v3

Mathematics

Symplectic Geometry

Scientific paper

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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