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Cohomology of fiber-bunched twisted cocycles over hyperbolic systems

Dynamical Systems 2020-10-14 v2

Abstract

A twisted cocycle taking values on a Lie Group GG is a cocycle that, in each step, is twisted by an automorphism of GG. In the case when G=GL(d,R)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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Cite

@article{arxiv.1907.08652,
  title  = {Cohomology of fiber-bunched twisted cocycles over hyperbolic systems},
  author = {Lucas Backes},
  journal= {arXiv preprint arXiv:1907.08652},
  year   = {2020}
}

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