# metadata.dc.description.abstract[].value
We prove a Poincare lemma for a set of r smooth functions on a 2n-dimensional smooth manifold satisfying a commutation relation determined by r singular vector fields associated to a Cartan subalgebra of $\frak{sp}(2r,\mathbb R)$. This result has a natural interpretation in terms of the cohomology associated to the infinitesimal deformation of a completely integrable system.

# metadata.dc.relation.ispartof[].value
International Mathematics Research Notices, 2005, núm. 1, p. 27-45.

# metadata.dc.source[].value
Articles publicats en revistes (Matemàtiques i Informàtica)