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arXiv · 1107.5396

Twisted Lefschetz number and Nielsen number

Haimiao Chen
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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.

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Haimiao Chen. 2012-04-09. Twisted Lefschetz number and Nielsen number. https://arxiv.org/abs/1107.5396

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