Orbifold Riemann surfaces and the Yang-Mills-Higgs equations
Ben Nasatyr, Brian Steer (1995)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Displaying similar documents to “Instantons on cylindrical manifolds and stable bundles.”
Orbifold Riemann surfaces and the Yang-Mills-Higgs equations
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The moduli space of stable vector bundles over a moving curve is constructed, and on this a generalized Weil-Petersson form is constructed. Using the local Riemann-Roch formula of Bismut-Gillet-Soulé it is shown that the generalized Weil-Petersson form is the curvature of the determinant line bundle, equipped with the Quillen metric, for a vector bundle on the fiber product of the universal moduli space with the universal curve.
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