Kähler classes on universal moduli spaces and volumina of Quot spaces

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.

arXiv commentLaTeX, 36 pages