Quasihomomorphisms and the residue Chern character

Details Quasihomomorphisms and the residue Chern character Quasihomomorphisms and the residue Chern character

2008-04-07

arxiv.org/abs/0804.1048v3

Journal of Geometry and Physics 60 (2010) 1441-1473

Mathematics

K-Theory and Homology

51 pages. This is essentially the second part of the preprint arXiv:0706.1937, including several corrections and improvements.

Scientific paper

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.

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