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Transgression and Clifford algebras

Rudolf Philippe Rohr (2009)

Annales de l’institut Fourier

Let W be a differential (not necessarily commutative) algebra which carries a free action of a polynomial algebra S P with homogeneous generators p 1 , , p r . We show that for W acyclic, the cohomology of the quotient H ( W / < p ...

Un 3-polyGEM de cohomologie modulo 2 nilpotente

Donghua Jiang (2004)

Annales de l’institut Fourier

On construit un contre-exemple de la conjecture suivante : si la cohomologie modulo 2 réduite d'un polyGEM 1-connexe quelconque est de type fini et si elle n'est pas réduite à (0), alors elle contient au moins un élément non nilpotent.

Vanishing theorems on cohomology associated to hermitian symmetric spaces

Shingo Murakami (1987)

Annales de l'institut Fourier

We consider the cohomoly groups of compact locally Hermitian symmetric spaces with coefficients in the sheaf of germs of holomorphic sections of those vector bundles over the spaces which are defined by canonical automorphic factors. We give a quick survey of the research on these cohomology groups, and then discuss vanishing theorems of the cohomology groups.

Vector fields on the Sato Grassmannian.

Francisco J. Plaza Martín (2005)

Collectanea Mathematica

An explicit basis of the space of global vector fields on the Sato Grassmannian is computed and the vanishing of the first cohomology group of the sheaf of derivations is shown.

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