Difference Cochains and Reidemeister Traces

Citation:

Baoqun ZHANG,Xuezhi ZHAO.Difference Cochains and Reidemeister Traces[J].Chinese Annals of Mathematics B,2017,38(6):1365~1372
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Authors:

Baoqun ZHANG; Xuezhi ZHAO

Foundation:

This work was supported by the National Natural Science Foundation of China (Nos.11431009, 11661131004).
Abstract: The authors consider the difference of Reidemeister traces and difference cochain of given two self-maps, and find out a relation involving these two invariants. As an application, an inductive formula of the Reidemeister traces for self-maps on a kind of CW-complex, including spherical manifolds is obtained.

Keywords:

Fixed point, Reidemeister trace, Difference cochain, Spherical manifold

Classification:

55M20, 57M50
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