The combinatorics of the Verlinde formulas

1994/02/04 by András Szenes, Szenes, Andras · 3 citations
Mathematics · Engineering · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.alg-geom/9402003

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.

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• Vector bundles on curves and generalized theta functions: recent results and open problems
• Formulas of Verlinde type for non-simply connected groups
• A residue theorem for rational trigonometric sums and Verlinde's formula

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