Deformations of modules of differential forms

Abstract

We study non-trivial deformations of the natural action of the Lie algebra $\mathrm{Vect}({\mathbb{R}}^n)$ on the space of differential forms on ${\mathbb{R}}^n$. We calculate abstractions for integrability of infinitesimal multi-parameter deformations and determine the commutative associative algebra corresponding to the miniversal deformation in the sense of \cite{ff}.

Published by JNMP at http://www.sm.luth.se/math/JNMP