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Title: A singular Poincaré lemma
Author: Miranda Galcerán, Eva
Vu Ngoc, S.
Keywords: Formes diferencials
Geometria algebraica
Poincaré lemma
Differential forms
Issue Date: 2005
Publisher: Duke University Press
Abstract: 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.
Note: Reproducció del document publicat a
It is part of: International Mathematics Research Notices, 2005, núm. 1, p. 27-45.
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ISSN: 1073-7928
Appears in Collections:Articles publicats en revistes (Matemàtiques i Informàtica)

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