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arXiv · 1312.6295

Kähler classes on universal moduli spaces and volumina of Quot spaces

Christian Okonek·Andrei Teleman
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Abstract

We study the natural Kähler metrics on moduli spaces of stable oriented pairs in a very general framework, and we prove a universal formula expressing the Kähler class of such a moduli space in terms of characteristic classes of the universal bundle. We use these results to compute explicitly the volumina of certain Quot spaces.

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Christian Okonek, Andrei Teleman. 2013-12-21. Kähler classes on universal moduli spaces and volumina of Quot spaces. https://arxiv.org/abs/1312.6295

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