Spectral isomorphisms of Morse flows

T. Downarowicz; Jan Kwiatkowski; Y. Lacroix

Fundamenta Mathematicae (2000)

  • Volume: 163, Issue: 3, page 193-213
  • ISSN: 0016-2736

Abstract

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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 , 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.

How to cite

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Downarowicz, T., Kwiatkowski, Jan, and Lacroix, Y.. "Spectral isomorphisms of Morse flows." Fundamenta Mathematicae 163.3 (2000): 193-213. <http://eudml.org/doc/212439>.

@article{Downarowicz2000,
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 $G = ℤ_p$, 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.},
author = {Downarowicz, T., Kwiatkowski, Jan, Lacroix, Y.},
journal = {Fundamenta Mathematicae},
keywords = {Morse sequence; spectral isomorphism},
language = {eng},
number = {3},
pages = {193-213},
title = {Spectral isomorphisms of Morse flows},
url = {http://eudml.org/doc/212439},
volume = {163},
year = {2000},
}

TY - JOUR
AU - Downarowicz, T.
AU - Kwiatkowski, Jan
AU - Lacroix, Y.
TI - Spectral isomorphisms of Morse flows
JO - Fundamenta Mathematicae
PY - 2000
VL - 163
IS - 3
SP - 193
EP - 213
AB - 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 $G = ℤ_p$, 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.
LA - eng
KW - Morse sequence; spectral isomorphism
UR - http://eudml.org/doc/212439
ER -

References

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