Article Contents
Article Contents

Holonomies and cohomology for cocycles over partially hyperbolic diffeomorphisms

• We consider group-valued cocycles over a partially hyperbolic diffeomorphism which is accessible volume-preserving and center bunched. We study cocycles with values in the group of invertible continuous linear operators on a Banach space. We describe properties of holonomies for fiber bunched cocycles and establish their Hölder regularity. We also study cohomology of cocycles and its connection with holonomies. We obtain a result on regularity of a measurable conjugacy, as well as a necessary and sufficient condition for existence of a continuous conjugacy between two cocycles.
Mathematics Subject Classification: Primary: 37D30, 37C15, 37H05.

 Citation:

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