A residue theorem for rational trigonometric sums and Verlinde's formula

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We present a compact formula computing rational trigonometric sums. E. Verlinde's expression for the dimension of conformal blocks in WZW theory is an example of such a sum. As an application, we show that a formula of Bismut and Labourie for the Riemann-Roch numbers of moduli spaces of flat connections on a Riemann surface coincides with Verlinde's expression.
34 pages

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Combinatorics, High Energy Physics - Theory, Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/62152

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0109038
 http://arxiv.org/abs/math/0109038

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arXiv