The index of G-transversally elliptic families in cohomology

Alexandre Baldare

doi:10.4171/JNCG/390

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The index of G-transversally elliptic families in cohomology

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The index of G-transversally elliptic families in cohomology

Alexandre Baldare

Journal of Noncommutative Geometry, Vol.14(3)

04/11/2020

DOI: https://doi.org/10.4171/JNCG/390

Résumé

Index

transversally elliptic operators

equivariant cohomology

fibration

MSC2010 classiﬁcation: 19K56, 19L47, 19L10, 19M05, 55N25.

We define the Chern character of the index class of a G-invariant family of G-transversally elliptic operators, see [6]. Next we study the Berline-Vergne formula for families in the elliptic and transversally elliptic case.

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Détails

Titre: The index of G-transversally elliptic families in cohomology
Créateurs - sans rôle: Alexandre Baldare - Université de Montpellier, Institut Montpelliérain Alexander Grothendieck - IMAG
Détails de publication: Journal of Noncommutative Geometry, Vol.14(3)
Identifiants: 99161414709311
Unité académique: Institut Montpelliérain Alexander Grothendieck - IMAG
Langue: English
Type de ressource: Journal article
Champs locaux: hal-01873320