Zeta functions, 3-manifolds and asymptotics in Nielsen theory

DOI10.1016/S0166-8641(00)00087-0zbMath1158.37302MaRDI QIDQ5948950

Alexander Fel'shtyn

Publication date: 12 November 2001

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

asymptotic expansionfixed point classesHaken manifoldNielsen zeta functionpseudo-Anosov homeomorphism

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Fixed points and coincidences in algebraic topology (55M20) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Cites Work

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• The Nielsen zeta function
• Geodesics in homology classes
• Lectures on Nielsen fixed point theory
• The spectral theory of geometrically periodic hyperbolic 3-manifolds
• On the geometry and dynamics of diffeomorphisms of surfaces
• Trace formulae, Zeta functions, congruences and Reidemeister torsion in Nielsen theory
• Dynamical zeta functions, Nielsen theory and Reidemeister torsion
• Precise counting results for closed orbits of Anosov flows
• The Geometries of 3-Manifolds
• Asymptotic expansions for closed orbits in homology classes.

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