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Article

Исчисление Шуберта и многогранники Гельфанда-Цетлина

Успехи математических наук. 2012. Т. 67. № 4. С. 89-128.

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.