English

Wall crossing for symplectic vortices and quantum cohomology

Symplectic Geometry 2007-05-23 v2 Geometric Topology

Abstract

We derive a wall crossing formula for the symplectic vortex invariants of toric manifolds. As an application, we give a proof of Batyrev's formula for the quantum cohomology of a monotone toric manifold with minimal Chern number at least two.

Keywords

Cite

@article{arxiv.math/0209170,
  title  = {Wall crossing for symplectic vortices and quantum cohomology},
  author = {Kai Cieliebak and Dietmar A. Salamon},
  journal= {arXiv preprint arXiv:math/0209170},
  year   = {2007}
}

Comments

45 pages, no figures, some typos removed