Nielsen zeta function, 3-manifolds and asymptotic expansions in Nielsen theory

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dc.creatorFel'shtyn, Alexander
dc.date1999-10-24
dc.date2000-01-13
dc.date.accessioned2026-07-07T05:31:16Z
dc.date.available2026-07-07T05:31:16Z
dc.descriptionWe 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 $x$.
dc.description15 pages, Latex, section 2 revised
dc.identifierhttps://arxiv.org/abs/math/9910129
dc.identifierhttp://arxiv.org/abs/math/9910129
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79278
dc.subjectDynamical Systems
dc.subjectAlgebraic Topology
dc.subjectDifferential Geometry
dc.subject58F20
dc.titleNielsen zeta function, 3-manifolds and asymptotic expansions in Nielsen theory
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