Three Cocycles on $\Diff(S^1)$ Generalizing the Schwarzian Derivative
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.
- Publication:
-
eprint arXiv:dg-ga/9710018
- Pub Date:
- October 1997
- DOI:
- 10.48550/arXiv.dg-ga/9710018
- arXiv:
- arXiv:dg-ga/9710018
- Bibcode:
- 1997dg.ga....10018B
- Keywords:
-
- Differential Geometry;
- Mathematics - Differential Geometry
- E-Print:
- 18 pages, LaTex. to appear in IMRN