Higher genus symplectic invariants and sigma model coupled with gravity
alg-geom
2009-10-28 v1 dg-ga
High Energy Physics - Theory
Algebraic Geometry
Differential Geometry
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.
Cite
@article{arxiv.alg-geom/9601005,
title = {Higher genus symplectic invariants and sigma model coupled with gravity},
author = {Yongbin Ruan and Gang Tian},
journal= {arXiv preprint arXiv:alg-geom/9601005},
year = {2009}
}
Comments
LaTeX