A note on the residue Chern character

2005/11/09 by Dmitry Gerenrot, Gerenrot, Dmitry
Mathematics · #57R20 #57R22 #58J20 #Advanced Algebra and Geometry #Advanced Operator Algebra Research #Algebraic Topology (math.AT) #Differential Geometry (math.DG) #FOS: Mathematics #Geometry and complex manifolds #math.AT #math.DG #msc:57R20 #msc:57R22 #msc:58J20

paper · pdf · doi:10.48550/arxiv.math/0511243

5 pages, no figures

arxiv created 2005/11/09 · openalex publication_date 2005/11/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The aim of this note is to improve upon our earlier result which translates Weyl's (curvature) formulation of Chern character of a smooth vector bundle into the language of residues. The dualized Chern character is the functional on smooth differential forms on M. In our previous paper, this functional has been expressed as a sum of certain residues in the spirit of the Local Index formula due to Connes and Moscovici. The present note provides a stronger and more effective formulation.

Citations

• Residue Formulation of Chern Character on Smooth Manifolds

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