Deformations of symplectic vortices

Eduardo Gonzalez; Chris Woodward

doi:10.1007/s10455-010-9223-3

Deformations of symplectic vortices

Eduardo Gonzalez
, Chris Woodward

Mathematics

Rutgers - The State University of New Jersey, New Brunswick

Research output: Contribution to journal › Article › peer-review

Abstract

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 strongly 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 C¹-orbifold structure.

Original language	English
Pages (from-to)	45-82
Number of pages	38
Journal	Annals of Global Analysis and Geometry
Volume	39
Issue number	1
DOIs	https://doi.org/10.1007/s10455-010-9223-3
State	Published - Jan 2011

ASJC Scopus Subject Areas

Analysis
Political Science and International Relations
Geometry and Topology

Keywords

Gauged Gromov-Witten invariants
Pseudo-holomorphic curves
Symplectic vortices

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10.1007/s10455-010-9223-3

Cite this

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abstract = "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 strongly 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 C1-orbifold structure.",

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AB - 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 strongly 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 C1-orbifold structure.

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KW - Pseudo-holomorphic curves

KW - Symplectic vortices

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Deformations of symplectic vortices

Abstract

ASJC Scopus Subject Areas

Keywords

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