Schubert calculus and Gelfand-Zetlin polytopes

Details Schubert calculus and Gelfand-Zetlin polytopes Schubert calculus and Gelfand-Zetlin polytopes

2010-12-31

arxiv.org/abs/1101.0278v2

Mathematics

Algebraic Geometry

33 pages, 4 figures, introduction rewritten, Section 4 restructured, typos corrected

Scientific paper

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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