Application of Groebner bases to the cup-length of oriented Grassmann manifolds

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We determine the cup-length of some oriented Grassmann manifolds by finding a Groebner basis associated with a certain subring of the cohomology of them. As its applications, we provide not only a lower but also an upper bound for the LS-category of some oriented Grassmann manifolds. We also study the immersion problem of them.
Corrected errors: Conjecture 1.1

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Algebraic Topology, 55M30

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http://salesiana.dossiersoluciones.com/handle/123456789/145821

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0710.4033
 http://arxiv.org/abs/0710.4033

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arXiv