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Cohomology of fiber-bunched twisted cocycles over hyperbolic systems (1907.08652v2)
Published 19 Jul 2019 in math.DS
Abstract: A twisted cocycle taking values on a Lie Group $G$ is a cocycle that, in each step, is twisted by an automorphism of $G$. In the case when $G=GL(d,\mathbb{R})$, we prove that if two H\"older continuous twisted cocycles satisfying the so called fiber-bunching condition have the same periodic data then they are cohomologous.
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