Deformations of symplectic vortices

Details Deformations of symplectic vortices Deformations of symplectic vortices

2008-11-22

arxiv.org/abs/0811.3711v3

Mathematics

Symplectic Geometry

44 pages, 1 figure. Title changed

Scientific paper

We prove a gluing theorem for a symplectic vortex on a compact complex curve and a collection of holomorphic sphere bubbles. Using the theorem we show that the moduli space of regular stable symplectic vortices on a fixed curve with varying markings has the structure of a stratified-smooth topological orbifold. In addition, we show that the moduli space has a non-canonical $C^1$-orbifold structure.

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