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7 papers · 1 filter
Equivariant Chern characters with generalized coefficients
Paul-Emile Paradan, Michèle Vergne
These notes form the next episode in a series of articles dedicated to a detailed proof of a cohomological index formula for transversally elliptic pseudo-differential operators an…
Equivariant relative Thom forms and Chern characters
Paul-Emile Paradan, Michèle Vergne
These notes are the first chapter of a monograph, dedicated to a detailed proof of the equivariant index theorem for transversally elliptic operators. In this preliminary chapter,…
Diabatic Limit, Eta Invariants and Cauchy-Riemann Manifolds of Dimension 3
Olivier Biquard, Marc Herzlich, Michel Rumin
We relate a recently introduced non-local geometric invariant of compact strictly pseudoconvex Cauchy-Riemann (CR) manifolds of dimension 3 to various eta-invariants in CR geometry…
Positive energy-momentum theorem in asymptotically anti de Sitter space-times
Daniel Maerten
This paper proves a positive energy-momentum theorem for oriented Riemannian 3-manifolds that are asymptotic to a standard hyperbolic slice in anti de Sitter space-time. Analogousl…
Bas du spectre et delta-hyperbolicité en géométrie de Hilbert plane
Bruno Colbois, Constantin Vernicos
We prove that the Hilbert geometry of a convex domain in the plane is Gromov hyperbolic, if, and only if, the bottom of its spectrum is not zero
A remark on renormalized volume and Euler characteristic for ACHE 4-manifolds
Marc Herzlich
This note computes the "renormalized volume" and a renormalizedGauss-Bonnet-Chern formula for the Euler characteristic ofasymptotically complex hyperbolic Einstein (in short: ACHE)…