Twisted Lefschetz number and Nielsen number

Details Twisted Lefschetz number and Nielsen number Twisted Lefschetz number and Nielsen number

2011-07-27

arxiv.org/abs/1107.5396v3

Mathematics

Algebraic Topology

This paper has been withdrawn by the author. this work is meaningless

Scientific paper

We study the twisted Lefschetz number, which is a generalization of classical Lefschetz number. A formula in terms of homology with local coefficients is given. We then propose a method to estimate the Nielsen number. As applications, an algorithm for computing the Nielsen number of a self map of a space with abelian fundamental group is discussed; and Bass' conjecture for a class of groups is proved.

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