Index of transversally elliptic operators

Abstract

In 1996, Berline and Vergne gave a cohomological formula for the index of a transversally elliptic operator. In this paper we propose a new point of view where the cohomological formulae make use of equivariant Chern characters with generalized coefficients and with compact suppport. This kind of Chern characters was studied by the authors in a previous paper (see arXiv:0801.2822).

41 pages

References in corpus (4)

• Applications of Equivariant Cohomology
• Equivariant relative Thom forms and Chern characters
• Equivariant Chern characters with generalized coefficients
• An equivariant index formula for elliptic actions on contact manifolds

Cited by in corpus (5)

• On the geometric quantization of contact manifolds
• Differentiable stratified groupoids and a de Rham theorem for inertia spaces
• Index of the Transversally Elliptic Complex in Pestunization
• Norm-square localization and the quantization of Hamiltonian loop group spaces
• An explicit formula for the transversal indices of the lifted Dolbeault operators