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

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

2007-10-22

arxiv.org/abs/0710.4033v2

Mathematics

Algebraic Topology

Corrected errors: Conjecture 1.1

Scientific paper

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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