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arXiv · 2108.03255

An Analytic Application of Geometric Invariant Theory II: Coarse Moduli Spaces

Nicholas Buchdahl·Georg Schumacher
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Abstract

In [arXiv:2008.04625] the authors constructed a classifying space for polystable holomorphic vector bundles on a compact K\"ahler manifold using analytic GIT theory. The aim of this article is to show that this classifying space taken in the weakly normal category is a coarse moduli space in the sense of complex geometry when the topology is fixed as induced by the space of Hermite-Einstein connections modulo the group of unitary gauge transformations.

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Nicholas Buchdahl, Georg Schumacher. 2021-07-23. An Analytic Application of Geometric Invariant Theory II: Coarse Moduli Spaces. https://doi.org/10.1016/j.geomphys.2022.104467

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