Dynamical Zeta Functions, Nielsen Theory and Reidemeister Torsion / Edition 1

Dynamical Zeta Functions, Nielsen Theory and Reidemeister Torsion / Edition 1

by Alexander Fel'shtyn
     
 

ISBN-10: 0821820907

ISBN-13: 9780821820902

Pub. Date: 01/01/2000

Publisher: American Mathematical Society

In the 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

Overview

In the 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.

Product Details

ISBN-13:
9780821820902
Publisher:
American Mathematical Society
Publication date:
01/01/2000
Series:
Memoirs Series, #147
Pages:
146
Product dimensions:
6.30(w) x 9.06(h) x (d)

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