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math.SG2000★ 12 cited
Formulas of Verlinde type for non-simply connected groups
Anton Alekseev, Eckhard Meinrenken, Chris Woodward
We derive Verlinde's formula from the fixed point formula for loop groups proved in the companion paper "A fixed point formula for loop group actions", and extend it to compact, co…
math.SG2000★ 3 cited
A fixed point formula for loop group actions
Anton Alekseev, Eckhard Meinrenken, Chris Woodward
We express the index of the Dirac operator on symplectic quotients of a Hamiltonian loop group manifold with proper moment map in terms of fixed point data.