Cohomology of fiber-bunched twisted cocycles over hyperbolic systems

Cohomology of fiber-bunched twisted cocycles over hyperbolic systems

A twisted cocycle taking values on a Lie group G is a cocycle that is twisted by an automorphism of G in each step. In the case where G = GL(d, ℝ), we prove that if two Hölder continuous twisted cocycles satisfying the so-called fiber-bunching condition have the same periodic data then they are coho...

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Veröffentlicht in:Proceedings of the Edinburgh Mathematical Society 2020-08, Vol.63 (3), p.844-860
1. Verfasser: Backes, Lucas
Format: Artikel
Sprache:eng
Schlagworte:
Automorphisms
Continuous fibers
Homology
Hyperbolic systems
Lie groups
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Zusammenfassung:A twisted cocycle taking values on a Lie group G is a cocycle that is twisted by an automorphism of G in each step. In the case where G = GL(d, ℝ), we prove that if two Hölder continuous twisted cocycles satisfying the so-called fiber-bunching condition have the same periodic data then they are cohomologous.
ISSN:0013-0915
1464-3839
DOI:10.1017/S0013091520000206