Dynamical zeta functions, Nielsen theory, and Reidemeister torsion / Alexander Felʹshtyn.

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 consis...

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Bibliographic Details
Main Author: Felʹshtyn, Alexander, 1952-
Format: eBook
Language:English
Published: Providence, R.I. : American Mathematical Society, 2000.
Series:Memoirs of the American Mathematical Society ; no. 699.
Subjects:
Online Access:Click for online access

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100 1 |a Felʹshtyn, Alexander,  |d 1952-  |1 https://id.oclc.org/worldcat/entity/E39PCjJ76w9PcqqTwdtyF7jQv3 
245 1 0 |a Dynamical zeta functions, Nielsen theory, and Reidemeister torsion /  |c Alexander Felʹshtyn. 
260 |a Providence, R.I. :  |b American Mathematical Society,  |c 2000. 
300 |a 1 online resource (xi, 146 pages) 
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490 1 |a Memoirs of the American Mathematical Society,  |x 1947-6221 ;  |v v. 699 
500 |a "Volume 147, number 699 (third of 4 numbers)." 
504 |a Includes bibliographical references (pages 138-146). 
588 0 |a Print version record. 
520 8 |a 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. 
505 0 0 |t Introduction  |t 1. Nielsen fixed point theory  |t 2. The Reidemeister zeta function  |t 3. The Nielsen zeta function  |t 4. Reidemeister and Nielsen zeta functions modulo normal subgroup, minimal dynamical zeta functions  |t 5. Congruences for Reidemeister and Nielsen numbers  |t 6. The Reidemeister torsion. 
650 0 |a Functions, Zeta. 
650 0 |a Fixed point theory. 
650 0 |a Piecewise linear topology. 
650 7 |a Fixed point theory  |2 fast 
650 7 |a Functions, Zeta  |2 fast 
650 7 |a Piecewise linear topology  |2 fast 
776 0 8 |i Print version:  |a Felʹshtyn, Alexander, 1952-  |t Dynamical zeta functions, Nielsen theory, and Reidemeister torsion /  |x 0065-9266  |z 9780821820902 
830 0 |a Memoirs of the American Mathematical Society ;  |v no. 699.  |x 0065-9266 
856 4 0 |u https://ebookcentral.proquest.com/lib/holycrosscollege-ebooks/detail.action?docID=3114390  |y Click for online access 
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