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arXiv · 1711.02135

Livsic theorem for diffeomorphism cocycles

Artur Avila·Alejandro Kocsard·Xiao-Chuan Liu
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Abstract

We prove the so called Liv\v{s}ic theorem for cocycles taking values in the group of $C^{1+\beta}-diffeomorphisms of any closed manifold of arbitrary dimension. Since no localization hypothesis is assumed, this result is completely global in the space of cocycles and thus extends the previous result of the second author and Potrie [KP16] to higher dimensions.

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Artur Avila, Alejandro Kocsard, Xiao-Chuan Liu. 2017-11-06. Livsic theorem for diffeomorphism cocycles. https://arxiv.org/abs/1711.02135

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