Generalised monopole equations on Kahler surfaces
Mathematical Physics
2018-05-09 v2 math.MP
Abstract
In this article, we establish a Hitchin-Kobayashi type correspondence for generalised Seiberg-Witten monopole equations on Kahler surfaces. We show that the "stability" criterion we obtain, for the existence of solutions, coincides with that of the usual Seiberg-Witten monopole equations. This enables us to construct a map from the moduli space of solutions to the generalised equations to effective divisors.
Cite
@article{arxiv.1803.01600,
title = {Generalised monopole equations on Kahler surfaces},
author = {Indranil Biswas and Varun Thakre},
journal= {arXiv preprint arXiv:1803.01600},
year = {2018}
}
Comments
14 pages, minor corrections. To appear in Journal of Mathematical Physics