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A fixed point formula for loop group actions

Anton Alekseev·Eckhard Meinrenken·Chris Woodward
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Abstract

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.

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Anton Alekseev, Eckhard Meinrenken, Chris Woodward. 2000-05-04. A fixed point formula for loop group actions. https://arxiv.org/abs/math/0005046

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