paper

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

arXiv:dg-ga/9710018

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 is calculated. We introduce three non-trivial -invariant 1-cocycles on $\Diff(S^1)$ generalizing the Schwarzian derivative.

18 pages, LaTex. to appear in IMRN

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