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Pré-Publication, Document De Travail Année : 2017

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

Résumé

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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Dates et versions

hal-01577715 , version 1 (27-08-2017)
hal-01577715 , version 2 (11-09-2017)

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Citer

Paul-Emile Paradan, Michele Vergne. The equivariant index of twisted dirac operators and semi-classical limits. 2017. ⟨hal-01577715v1⟩
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