Twisted Lefschetz number and Nielsen number
Algebraic Topology
2012-04-10 v3
Abstract
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.
Keywords
Cite
@article{arxiv.1107.5396,
title = {Twisted Lefschetz number and Nielsen number},
author = {Haimiao Chen},
journal= {arXiv preprint arXiv:1107.5396},
year = {2012}
}
Comments
This paper has been withdrawn by the author. this work is meaningless