The Verlinde formula for PGL(p)
arXiv:alg-geom/9609017
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.
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Cited by in corpus (6)
- The action of outer automorphisms on bundles of chiral blocks
- Formulas of Verlinde type for non-simply connected groups
- Spin Chern-Simons and Spin TQFTs
- Symmetries of 2d TQFTs and Equivariant Verlinde Formulae for General Groups
- Bundles of chiral blocks and boundary conditions in CFT
- Involutions on Moduli Spaces and Refinements of the Verlinde Formula