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arXiv math/0005046math.SGmath-phmath.AGmath.DGmath.MP
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A fixed point formula for loop group actions

Anton Alekseev, Eckhard Meinrenken, Chris Woodward

英文摘要:

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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