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

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

2001-09-06

arxiv.org/abs/math/0109038v1

Mathematics

Combinatorics

34 pages

Scientific paper

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.

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