2011/07/27 by Haimiao Chen, Chen, Haimiao
Mathematics · #Algebraic Topology (math.AT) #FOS: Mathematics #math.AT
paper · pdf · doi:10.48550/arxiv.1107.5396
This paper has been withdrawn by the author. this work is meaningless
arxiv created 2012/04/09 · arxiv updated 2012/04/10
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.