Kiritchenko, Valentina, Evgeny Smirnov, Vladlen Timorin
Abstract
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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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.
Key concepts: Polytope, Schubert calculus, Mathematics, Flag (linear algebra), Intersection (aeronautics), Combinatorics, Schubert polynomial, Schubert variety