The Verlinde formulas as fixed point formulas.

DOI10.4310/JSG.2001.v1.n1.a1zbMath1033.53074OpenAlexW2004966195MaRDI QIDQ1872790

Anton Yu. Alekseev, Christopher T. Woodward, Eckhard Meinrenken

Publication date: 22 March 2004

Published in: The Journal of Symplectic Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jsg.2001.v1.n1.a1

zbMATH Keywords

loop groupsymplectic quotientquantization conjecturefixed-point formulaG-equivariant index

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Spin and Spin({}^c) geometry (53C27) Momentum maps; symplectic reduction (53D20) Symplectic structures of moduli spaces (53D30)

Related Items (13)

The decomposition formula for Verlinde sums ⋮ The Picard group of the universal moduli stack of principal bundles on pointed smooth curves ⋮ Quantization of Hamiltonian loop group spaces ⋮ Residue theorem for rational trigonometric sums and Verlinde's formula ⋮ Twisted moduli spaces and Duistermaat-Heckman measures ⋮ Twenty five years of two-dimensional rational conformal field theory ⋮ Affine SU(2) fusion rules from gerbe 2-isomorphisms ⋮ Twisted equivariantK-theory with complex coefficients ⋮ The index formula for the moduli of \(G\)-bundles on a curve ⋮ Towards a quantization of the double via the enhanced symplectic ``category ⋮ Conformal embedding and twisted theta functions at level one ⋮ Norm-square localization and the quantization of Hamiltonian loop group spaces ⋮ Abelian and non-abelian branes in WZW models and gerbes

This page was built for publication: The Verlinde formulas as fixed point formulas.