Application of Groebner bases to the cup-length of oriented Grassmann manifolds
classification
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keywords
grassmannmanifoldsorientedcup-lengthgroebnersomethemapplication
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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.
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