Cohomology of Dominated Diffeomorphism-Valued Cocycles Over Hyperbolic Systems

Published 13 Aug 2014 in math.DS | (1408.3085v3)

Abstract: We prove a rigidity theorem for dominated H\"{o}lder 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.

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