The Radul cocycle, the Chern-Connes character, and manifolds with conical singularities

Abstract

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 cocycle, and discusses the applicability of such a formula to manifolds with conical singularities, where zeta functions of Fuchs-type pseudodifferential operators may exhibit double or triple poles.

A large part of the article is about the last section of arXiv:1309.2536; we decided to present it separately here, together with another result