The combinatorics of the Verlinde formulas

zbMath0823.14019arXivalg-geom/9402003MaRDI QIDQ4763649

András Szenes

Publication date: 9 November 1995

Full work available at URL: https://arxiv.org/abs/alg-geom/9402003

zbMATH Keywords

vector bundlestopological field theoriescompact Riemann surfacefusion algebrasWitten conjectureVerlinde formulaconformal quantum field theorygeneralized theta bundleHilbert functions of moduli spaces of semi-stable vector bundlesintersection theory of moduli spaces of algebraic curves

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Families, moduli of curves (algebraic) (14H10) Algebraic moduli problems, moduli of vector bundles (14D20) Theta functions and abelian varieties (14K25) Vector bundles on curves and their moduli (14H60)

Related Items (8)

Comparison of generalized theta functions ⋮ The decomposition formula for Verlinde sums ⋮ Residue theorem for rational trigonometric sums and Verlinde's formula ⋮ An explicit formula for the generic number of dormant indigenous bundles ⋮ Reciprocity Laws in the Verlinde Formulae for the Classical Groups ⋮ Trace functionals on noncommutative deformations of moduli spaces of flat connections ⋮ Explicit determination of the Picard group of moduli spaces of semistable \(G\)-bundles on curves ⋮ Momentum maps and reduction in algebraic geometry

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