The Index Formula on the Moduli of G-bundles

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We prove the formulae conjectured by the first author for the index of K-theory classes over the moduli stack of algebraic G-bundles on a smooth projective curve. The formulae generalise Verlinde's for line bundles and have Witten's integrals over the moduli space of stable bundles as their large level limits. As an application, we prove the Newstead-Ramanan conjecture on the vanishing of high Chern classes of certain moduli spaces of stable G-bundles.
Some arguments rewritten in v.4, clarifications added and small errors corrected

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Algebraic Geometry, Algebraic Topology, K-Theory and Homology, 14H60 (Primary) 19L47, 19L10 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/137324

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0312154
 http://arxiv.org/abs/math/0312154

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arXiv