Difference cochains and Reidemeister traces

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

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