Quasihomomorphisms and the residue Chern character

Quasihomomorphisms and the residue Chern character
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DOI:
10.1016/j.geomphys.2010.05.005
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发表时间:
2008-04
期刊:
arXiv: K-Theory and Homology
影响因子:
--
通讯作者:
Denis Perrot
Denis Perrot
中科院分区:
其他
文献类型:
--
作者:
Denis Perrot

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我们开发了一个通用的程序,重整化的η-上链的基础上,它允许找到“本地”的代表的双变陈特征的可求和拟同态。特别地,使用zeta函数重整化,我们得到了Connes-Moscovici留数公式的双变量推广,并解释了与手征和乘法异常量子场论的联系。
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.