Nielsen zeta function, 3-manifolds and asymptotic expansions in Nielsen theory
Dynamical Systems
2007-05-23 v2 Algebraic Topology
Differential Geometry
Abstract
We prove that the Nielsen zeta function is a rational function or a radical of a rational function for orientation preserving homeomorphisms on closed orientable 3-dimensional manifolds which are special Haken or Seifert manifolds. In the case of pseudo-Anosov homeomorphism of surface we compute an asymptotic for the number of twisted conjugacy classes or for the number of Nielsen fixed point classes whose norm is at most .
Keywords
Cite
@article{arxiv.math/9910129,
title = {Nielsen zeta function, 3-manifolds and asymptotic expansions in Nielsen theory},
author = {Alexander Fel'shtyn},
journal= {arXiv preprint arXiv:math/9910129},
year = {2007}
}
Comments
15 pages, Latex, section 2 revised