The equivariant index of twisted dirac operators and semi-classical limits - Archive ouverte HAL Accéder directement au contenu
Chapitre D'ouvrage Année : 2018

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.
Fichier principal
Vignette du fichier
asymptotics-sept2017.pdf (376.27 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

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

Identifiants

Citer

Paul-Emile Paradan, Michele Vergne. The equivariant index of twisted dirac operators and semi-classical limits. Lie Groups, Geometry, and Representation Theory, 326, Birkhäuser, pp.419-458, 2018, Progress in Mathematics, 978-3-030-02190-0. ⟨10.1007/978-3-030-02191-7_15⟩. ⟨hal-01577715v2⟩
248 Consultations
165 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More