Local model for the moduli space of affine vortices
Symplectic Geometry
2016-12-26 v2
Abstract
We show that the moduli space of regular affine vortices, which are solutions of the symplectic vortex equation over the complex plane, has the structure of a smooth manifold. The construction uses Ziltener's Fredholm theory results [31]. We also extend the result to the case of affine vortices over the upper half plane. These results are necessary ingredients in defining the "open quantum Kirwan map" proposed by Woodward [24].
Keywords
Cite
@article{arxiv.1512.06713,
title = {Local model for the moduli space of affine vortices},
author = {Sushmita Venugopalan and Guangbo Xu},
journal= {arXiv preprint arXiv:1512.06713},
year = {2016}
}
Comments
51 pages, 1 figure. This is the submitted version which is reconstructed from the previous one. We include the analogous results for affine vortices over the upper half plane in the appendix