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arXiv · 1907.08652

Cohomology of fiber-bunched twisted cocycles over hyperbolic systems

Lucas Backes
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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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Lucas Backes. 2019-07-19. Cohomology of fiber-bunched twisted cocycles over hyperbolic systems. https://doi.org/10.1017/s0013091520000206

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