Mark Losik, Peter W. Michor
Cohomology for a Group of Diffeomorphisms of a Manifold Preserving an Exact Form
Preprint series: ESI preprints

MSC:

58D05 Groups of diffeomorphisms and homeomorphisms as manifolds, See also {22E65, 57S05}

20J06 Cohomology of finite groups

22E65 Infinite-dimensional Lie groups and their Lie algebras, See also {17B65, 58B25, 58H05}

Abstract: Let $M$ be a $G$-manifold and $\om$ a $G$-invariant exact $m$-form on $M$.
We indicate when these data allow us to constract a cocycle on a group $G$ with
values in the trivial $G$-module $\mathbb R$ and when this cocycle is nontrivial.

Keywords: group cohomology