ar X iv : d g - ga / 9 71 00 18 v 1 1 8 O ct 1 99 7 Three Cocycles on Diff ( S 1 ) Generalizing the Schwarzian Derivative

نویسنده

  • S. Bouarroudj V. Yu. Ovsienko
چکیده

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

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تاریخ انتشار 1998