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arxiv: 1101.0278 · v2 · pith:RS2SJNB2new · submitted 2010-12-31 · 🧮 math.AG

Schubert calculus and Gelfand-Zetlin polytopes

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keywords schubertapproachcalculusgelfand-zetlinpolytopesallowsassociatedcomplete
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We describe a new approach to the Schubert calculus on complete flag varieties using the volume polynomial associated with Gelfand-Zetlin polytopes. This approach allows us to compute the intersection products of Schubert cycles by intersecting faces of a polytope.

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