Schubert Calculus on a Grassmann Algebra

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dc.creatorGatto, Letterio
dc.creatorSantiago, Taise
dc.date2007-02-26
dc.date.accessioned2026-07-07T07:48:49Z
dc.date.available2026-07-07T07:48:49Z
dc.descriptionThe ({\em classical}, {\em small quantum}, {\em equivariant}) cohomology ring of the grassmannian $G(k,n)$ is generated by certain derivations operating on an exterior algebra of a free module of rank $n$ ({\em Schubert Calculus on a Grassmann Algebra)}. Our main result gives, in a unified way, a presentation of all such cohomology rings in terms of generators and relations. It also provides, by results of Laksov and Thorup, a presentation of the universal splitting algebra of a monic polynomial of degree $n$ into the product of two monic polynomials, one of degree $k$.
dc.description12 pages, no figures; to appear on Canadian J. Math
dc.identifierhttps://arxiv.org/abs/math/0702759
dc.identifierhttp://arxiv.org/abs/math/0702759
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124634
dc.subjectAlgebraic Geometry
dc.subject14N15
dc.titleSchubert Calculus on a Grassmann Algebra
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