On symplectic vortex equations over a compact orbifold Riemann surface
Symplectic Geometry
2012-06-29 v1 Algebraic Topology
Abstract
Making use of theory of differentiable stacks, we study symplectic vortex equations over a compact orbifold Riemann surface. We discuss the category of representable morphisms from a compact orbifold Riemann surface to a quotient stack. After that we define symplectic vortex equations over a compact orbifold Riemann surface. We also discuss the moduli space of solutions to the equations for linear actions of the circle group on the complex plane.
Cite
@article{arxiv.1206.6633,
title = {On symplectic vortex equations over a compact orbifold Riemann surface},
author = {Hironori Sakai},
journal= {arXiv preprint arXiv:1206.6633},
year = {2012}
}
Comments
34 pages. Comments are welcome