Quasihomomorphisms and the residue Chern character
K-Theory and Homology
2010-06-14 v3 Mathematical Physics
math.MP
Abstract
We develop a general procedure, based on the renormalized eta-cochain, which allows to find local representatives of the bivariant Chern character of finitely summable quasihomomorphisms. In particular, using zeta-function renormalization we obtain a bivariant generalization of the Connes-Moscovici residue formula, and explain the link with chiral and multiplicative anomalies in quantum field theory.
Keywords
Cite
@article{arxiv.0804.1048,
title = {Quasihomomorphisms and the residue Chern character},
author = {Denis Perrot},
journal= {arXiv preprint arXiv:0804.1048},
year = {2010}
}
Comments
51 pages. This is essentially the second part of the preprint arXiv:0706.1937, including several corrections and improvements. v2: minor changes in section 4. v3: details added in the proof of Thm. 3.5