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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.DG2022
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…
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…