The combinatorics of the Verlinde formulas

Abstract

A residue formula is given for the Verlinde formula, which allows one to calculate its coefficients as a polynomial in the level and connects it to the Riemann-Roch formula on the moduli space of vector bundles on a curve.

13 pages, amslatex file. (Some errors corrected)

References in corpus (3)

• Two Dimensional Gauge Theories Revisited
• Conformal blocks, fusion rules and the Verlinde formula
• Localization for nonabelian group actions

Cited by in corpus (8)

• Conformal blocks, fusion rules and the Verlinde formula
• Vector bundles on curves and generalized theta functions: recent results and open problems
• Equivariant Kaehler Geometry and Localization in the G/G Model
• Iterated Residues and Multiple Bernoulli Polynomials
• Formulas of Verlinde type for non-simply connected groups
• A residue theorem for rational trigonometric sums and Verlinde's formula
• Explicit Determination of the Picard Group of Moduli Spaces of Semi-Stable G-Bundles on Curves
• An explicit formula for the generic number of dormant indigenous bundles