A twisted cocycle taking values on a Lie group G is a cocycle that is twisted by an automorphism of G in each step. In the case where G = GL(d, ℝ), we prove that if two Hölder continuous twisted cocycles satisfying the so-called fiber-bunching condition have the same periodic data then they are cohomologous.

中文翻译：

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双曲系统上纤维束扭曲共圈的上同调

一个扭曲的 cocycle 在李群上取值G是一个被自同构扭曲的cocycleG在每一步。在这种情况下G=总帐(d, ℝ)，我们证明如果满足所谓的纤维束条件的两个 Hölder 连续扭曲 cocycle 具有相同的周期数据，则它们是同调的。