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arxiv: dg-ga/9710018 · v1 · submitted 1997-10-18 · dg-ga · math.DG

Three Cocycles on Diff(S¹) Generalizing the Schwarzian Derivative

classification dg-ga math.DG
keywords diffcocyclesderivativegeneralizingschwarzianthreecalculatedcoefficients
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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.

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