Residue theorem for rational trigonometric sums and Verlinde's formula
Szenes, András
Duke Math. J., Tome 120 (2003) no. 3, p. 189-227 / Harvested from Project Euclid
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We present a compact formula computing rational trigonometric sums. Such sums appeared in the work of E. Verlinde on the dimension of conformal blocks in Wess-Zumino-Witten (WZW) theory. As an application, we show that a formula of J.-M. Bismut and F. Labourie for the Riemann-Roch numbers of moduli spaces of flat connections on a Riemann surface coincides with Verlinde's expression.
Publié le : 2003-06-01
Classification:  11L03,  14H60,  14N20 
@article{1082744646,
     author = {Szenes, Andr\'as},
     title = {Residue theorem for rational trigonometric sums and Verlinde's formula},
     journal = {Duke Math. J.},
     volume = {120},
     number = {3},
     year = {2003},
     pages = { 189-227},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1082744646}
}

Szenes, András. Residue theorem for rational trigonometric sums and Verlinde's formula. Duke Math. J., Tome 120 (2003) no. 3, pp.  189-227. http://gdmltest.u-ga.fr/item/1082744646/