关于圆微分同胚的投影导数共循环

Pub Date : 2020-12-14 DOI:10.4310/mrl.2022.v29.n6.a10

A. Navas, M. Ponce

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引用次数: 1

摘要

我们研究了圆微分同胚群上作为Mobius变换的并环的投影导数。通过计算这个共循环的精确表达式，我们得到了关于可约性和几乎可约性的几个结果。我们还将此并环的一个推广推广到3-环面上的对角作用，并推广了先前的结果。

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On the projective derivative cocycle for circle diffeomorphisms

We study the projective derivative as a cocycle of Mobius transformations over groups of circle diffeomorphisms. By computing precise expressions for this cocycle, we obtain several results about reducibility and almost reducibility to a cocycle of rotations. We also introduce an extension of this cocycle to the diagonal action on the 3-torus for which we generalize the previous results.

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