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Local model for the moduli space of affine vortices

49   0   0.0 ( 0 )
 نشر من قبل Guangbo Xu
 تاريخ النشر 2015
  مجال البحث
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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 Zilteners 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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