Higher genus symplectic invariants and sigma model coupled with gravity

Abstract

We define higher genus Gromov-Witten invariants and establish a mathematical theory of sigma model coupled with gravity over any semi-positive symplectic manifolds. As applications, we verify the stablizing conjecture of symplectic 4-manifolds for simply connected elliptic surfaces and construct smooth 6-manifolds admitting infinitely many deformation classes of symplectic structures.

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References in corpus (1)

• Constraints For Topological Strings In $D\ge 1$

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