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arXiv · 1708.08226

The equivariant index of twisted dirac operators and semi-classical limits

Paul-Emile Paradan·Michele Vergne
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Abstract

Consider a spin manifold M, equipped with a line bundle L and an action of a compact Lie group G. We can attach to this data a family Theta(k) of distributions on the dual of the Lie algebra of G. The aim of this paper is to study the asymptotic behaviour of Theta(k) when k is large, and M possibly non compact, and to explore a functorial consequence of this formula for reduced spaces.

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Paul-Emile Paradan, Michele Vergne. 2017-08-28. The equivariant index of twisted dirac operators and semi-classical limits. https://arxiv.org/abs/1708.08226

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