Generalised monopole equations on Kahler surfaces

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.

arXiv comment14 pages, minor corrections. To appear in Journal of Mathematical Physics

References in corpus (4)

• Gauged Hyperinstantons and Monopole Equations
• J-holomorphic curves, moment maps, and invariants of Hamiltonian group actions
• Non-abelian Seiberg-Witten theory and projectively stable pairs
• Generalised Seiberg-Witten equations and almost-Hermitian geometry

Cited by in corpus (1)

• Symplectic vortex equations for Kahler cones over Sasakian manifolds