Dynamical Zeta Functions, Nielsen Theory and Reidemeister Torsion (Memoirs of the American Mathematical Society)

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9780821820902: Dynamical Zeta Functions, Nielsen Theory and Reidemeister Torsion (Memoirs of the American Mathematical Society)

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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Alexander Fel'Shtyn
Published by Amer Mathematical Society (2000)
ISBN 10: 0821820907 ISBN 13: 9780821820902
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Book Description Amer Mathematical Society, 2000. Paperback. Book Condition: New. Bookseller Inventory # DADAX0821820907

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