8 citations · 11 across the 6 of their papers we have counts for
7 papers
The Radul cocycle, the Chern-Connes character, and manifolds with conical singularities
Rudy Rodsphon
This short note establishes a relationship between a generalized version of the Radul residue cocycle introduced in former works of the author and the Connes-Moscovici residue cocy…
A transverse Chern character for compact Lie group actions
Rudy Rodsphon
This article aims to explore new perspectives offered by Kasparov's recent work on transverse index theory in the context of actions of compact Lie groups on a manifold, and hints…
Algebra cochains, the bivariant JLO cocycle and the Mathai-Quillen form
Rudy Rodsphon
This is a first investigation by the author of the similarity between Quillen's superconnection formalism, his constructions of (periodic) cyclic cocycles via algebra cochains on a…
A KK-theoretic perspective of quantization commutes with reduction
Rudy Rodsphon
We reframe Paradan-Vergne's approach to quantization commutes with reduction in KK-theory through a recent formalism introduced by Kasparov, focusing more especially the index theo…
A KK-theoretic perspective on deformed Dirac operators
Yiannis Loizides, Rudy Rodsphon, Yanli Song
We study the index theory of a class of perturbed Dirac operators on non-compact manifolds of the form , where is a Clifford mul…
An equivariant index theorem for hypoelliptic operators
Denis Perrot, Rudy Rodsphon
Let M be a foliated manifold and G a discrete group acting on M by diffeomorphisms mapping leaves to leaves. Then G naturally acts by automorphisms on the algebra of Heisenberg pse…
Zeta Functions, Excision in Cyclic Cohomology and Index Problems
Rudy Rodsphon
The aim of this paper is to show how zeta functions and excision in cyclic cohomology may be combined to obtain index theorems. In the first part, we obtain a local index formula f…