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Three Cocycles on $\Diff(S^1)$ Generalizing the Schwarzian Derivative

S. Bouarroudj·V. Ovsienko
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Abstract

The first group of differentiable cohomology of $\Diff(S^1)$, vanishing on the Möbius subgroup $PSL(2,R)\subset\Diff(S^1)$, with coefficients in modules of linear differential operators on $S^1$ is calculated. We introduce three non-trivial $PSL(2,R)$-invariant 1-cocycles on $\Diff(S^1)$ generalizing the Schwarzian derivative.

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BibTeXRIS

S. Bouarroudj, V. Ovsienko. 1997-10-18. Three Cocycles on $\Diff(S^1)$ Generalizing the Schwarzian Derivative. https://arxiv.org/abs/dg-ga/9710018

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