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

2022/11/08 by Rudy Rodsphon, Rodsphon, Rudy
Mathematics · #Advanced Algebra and Geometry #Advanced Operator Algebra Research #FOS: Mathematics #K-Theory and Homology (math.KT) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2211.03993

openalex publication_date 2022/11/08 · openalex created_date 2022/11/16 · openalex updated_date 2026/07/28

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.

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