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math.KT2022
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…
math.KT2022
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…
math.KT2019
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…