A residue theorem for rational trigonometric sums and Verlinde's formula
Combinatorics
2007-05-23 v1 High Energy Physics - Theory
Algebraic Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.math/0109038,
title = {A residue theorem for rational trigonometric sums and Verlinde's formula},
author = {Andras Szenes},
journal= {arXiv preprint arXiv:math/0109038},
year = {2007}
}
Comments
34 pages