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ArticleOriginal scientific text

Title

Spectral isomorphisms of Morse flows

Authors 1, 2, 3

Affiliations

  1. Institute of Mathematics, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland
  2. Faculty of Mathematics and Informatics, Nicholas Copernicus, University Chopina 12/18, 87-100 Toruń, Poland
  3. Département de Mathématiques, Faculté des Sciences et Techniques, Université de Bretagne Occidentale, 6 Av. V. Le Gorgeu, B.P. 809 29285 Brest Cedex, France

Abstract

A combinatorial description of spectral isomorphisms between Morse flows is provided. We introduce the notion of a regular spectral isomorphism and we study some invariants of such isomorphisms. In the case of Morse cocycles taking values in G=ℤp, where p is a prime, each spectral isomorphism is regular. The same holds true for arbitrary finite abelian groups under an additional combinatorial condition of asymmetry in the defining Morse sequence, and for Morse flows of rank one. Rank one is shown to be a spectral invariant in the class of Morse flows.

Keywords

ENG
Morse sequence, spectral isomorphism

Bibliography

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Fundamenta Mathematicae
2000/163/3
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Pages:
193-213
Main language of publication
English
Received
1998-12-07
Accepted
1999-12-07
Published
2000
Exact and natural sciences