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arXiv · 1512.06713

Local model for the moduli space of affine vortices

Sushmita Venugopalan·Guangbo Xu
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Abstract

We show that the moduli space of regular affine vortices, which are solutions of the symplectic vortex equation over the complex plane, has the structure of a smooth manifold. The construction uses Ziltener's Fredholm theory results [31]. We also extend the result to the case of affine vortices over the upper half plane. These results are necessary ingredients in defining the "open quantum Kirwan map" proposed by Woodward [24].

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Sushmita Venugopalan, Guangbo Xu. 2016-12-23. Local model for the moduli space of affine vortices. https://arxiv.org/abs/1512.06713

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