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Cohomology of dominated diffeomorphism-valued cocycles over hyperbolic systems

Published online by Cambridge University Press:  19 March 2015

LUCAS H. BACKES  and
ALEJANDRO KOCSARD
LUCAS H. BACKES
Affiliation:
IMPA, Estrada Dona Castorina 110, 2460-320 Rio de Janeiro, RJ, Brazil email lhbackes@impa.br
ALEJANDRO KOCSARD
Affiliation:
IME—Universidade Federal Fluminense, Rua Mário Santos Braga S/N, 24020-140 Niterói, RJ, Brazil email akocsard@id.uff.br
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Abstract

We prove a rigidity theorem for dominated Hölder cocycles with values on diffeomorphism groups of a compact manifold over hyperbolic homeomorphisms. More precisely, we show that if two such cocycles have equal periodic data, then they are cohomologous.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 36 , Issue 6 , September 2016 , pp. 1703 - 1722
Copyright
© Cambridge University Press, 2015 

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