Mathematics – Differential Geometry
Scientific paper
1997-10-18
Mathematics
Differential Geometry
18 pages, LaTex. to appear in IMRN
Scientific paper
The first group of differentiable cohomology of $\Diff(S^1)$, vanishing on
the M\"obius 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.
Bouarroudj Sofiane
Ovsienko Valentin
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