The Verlinde formula for PGL(p)
alg-geom
2008-02-03 v1 Algebraic Geometry
Abstract
Let G be a complex semi-simple group, X a Riemann surface, M_G the moduli space of principal G-bundles on X. When G is simply-connected, there exists a closed formula expressing the dimension of the space H^0(M_G,L) for any line bundle L on M_G (this is usually called among mathematicians, somewhat incorrectly, the "Verlinde formula").In this paper we find an analogous formula for G = PGL(r) where r is prime.
Keywords
Cite
@article{arxiv.alg-geom/9609017,
title = {The Verlinde formula for PGL(p)},
author = {Arnaud Beauville},
journal= {arXiv preprint arXiv:alg-geom/9609017},
year = {2008}
}
Comments
Plain TeX with the macro package xypic