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19992003
most citedClifford algebras and the Duflo isomorphism

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math.SG2000

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

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.