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

Kurt Vinhage

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arXiv · 1610.04943

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

Kurt Vinhage

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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.

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Kurt Vinhage. 2016-10-17. Cocycle rigidity of partially hyperbolic abelian actions with almost rank one factors. https://arxiv.org/abs/1610.04943

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