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arXiv · 1409.4138

Livsic theorem for low-dimensional diffeomorphism cocycles

Alejandro Kocsard·Rafael Potrie
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Abstract

We prove a Livsic type theorem for cocycles taking values in groups of diffeomorphisms of low-dimensional manifolds. The results hold without any localization assumption and in very low regularity. We also obtain a general result (in any dimension) which gives necessary and sufficient conditions to be a coboundary.

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BibTeXRIS

Alejandro Kocsard, Rafael Potrie. 2014-09-15. Livsic theorem for low-dimensional diffeomorphism cocycles. https://arxiv.org/abs/1409.4138

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