English

Cocycle rigidity of partially hyperbolic abelian actions with almost rank one factors

Dynamical Systems 2016-10-18 v1

Abstract

We extend the recent progress on the cocycle rigidity of partially hyperbolic homogeneous abelian actions to the setting with rank 1 factors in the universal cover. The method of proof relies on the periodic cycle functional and analysis of the cycle structure, but uses a new argument to give vanishing.

Keywords

Cite

@article{arxiv.1610.04943,
  title  = {Cocycle rigidity of partially hyperbolic abelian actions with almost rank one factors},
  author = {Kurt Vinhage},
  journal= {arXiv preprint arXiv:1610.04943},
  year   = {2016}
}