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Cohomology for a group of diffeomorphisms of a manifold preserving an exact form

Mark Losik, Peter W. Michor

math.DGarXiv:math/0602489

Abstract

Let M be a G-manifold and 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 R and when this cocycle is nontrivial.

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