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Dynamical Zeta Functions, Nielsen Theory and Reidemeister Torsion [Hardcover]

Dynamical Zeta Functions, Nielsen Theory and Reidemeister Torsion [Hardcover]

By Alexander Fel'Shtyn (Author)
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Item description for Dynamical Zeta Functions, Nielsen Theory and Reidemeister Torsion by Alexander Fel'Shtyn...

In this paper, we study new dynamical zeta functions connected with Nielsen fixed point theory. The study of dynamical zeta functions is part of the theory of dynamical systems, but it is also intimately related to algebraic geometry, number theory, topology and statistical mechanics. The paper consists of four parts. Part I presents a brief account of the Nielsen fixed point theory. Part II deals with dynamical zeta functions connected with Nielsen fixed point theory. Part III is concerned with analog of Dold congruences for the Reidemeister and Nielsen numbers. In Part IV, we explain how dynamical zeta functions give rise to the Reidemeister torsion, a very important topological invariant which has useful applications in knots theory, quantum field theory and dynamical systems.



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Item Specifications...


Studio: Imperial College Press
Pages   200
Binding  Hardcover
Release Date   Jun 15, 2002
Publisher   Imperial College Press
ISBN  981024150X  
ISBN13  9789810241506  


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Product Categories

1Books > Subjects > Professional & Technical > Professional Science > Mathematics > Geometry & Topology > General Geometry
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Mathematical Analysis
3Books > Subjects > Science > General
4Books > Subjects > Science > Mathematics > Geometry & Topology > General Geometry
5Books > Subjects > Science > Mathematics > Geometry & Topology
6Books > Subjects > Science > Mathematics > Mathematical Analysis



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