Higher genus symplectic invariants and sigma model coupled with gravity

Details Higher genus symplectic invariants and sigma model coupled with gravity Higher genus symplectic invariants and sigma model coupled with gravity

1996-01-06

arxiv.org/abs/alg-geom/9601005v1

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX

Scientific paper

10.1007/s002220050192

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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