Family Gromov-Witten Invariants for Kähler Surfaces
نویسنده
چکیده
We use analytic methods to define Family Gromov-Witten Invariants for Kähler surfaces. We prove that these are well-defined invariants of the deformation class of the Kähler structure. Gromov-Witten invariants are counts of holomorphic curves in a symplectic manifold X. To define them using the analytic approach one chooses an almost complex structure J compatible with the symplectic structure and considers the set of maps f : Σ → X from Riemann surfaces Σ which satisfy the (nonlinear elliptic) J-holomorphic map equation
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تاریخ انتشار 2006