Geodesic
Schubert calculus and Gelfand--Zetlin polytopes
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 67 (2012) no. 4, pp. 685-719

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A new approach is described to the Schubert calculus on complete flag varieties, using the volume polynomial associated with Gelfand–Zetlin polytopes. This approach makes it possible to compute the intersection products of Schubert cycles by intersecting faces of a polytope. Bibliography: 23 titles.
Keywords: Flag variety, Gelfand–Zetlin polytope
Mots-clés : Schubert calculus, volume polynomial. 
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     author = {V. A. Kirichenko and E. Yu. Smirnov and V. A. Timorin},
     title = {Schubert calculus and {Gelfand--Zetlin} polytopes},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
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V. A. Kirichenko; E. Yu. Smirnov; V. A. Timorin. Schubert calculus and Gelfand--Zetlin polytopes. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 67 (2012) no. 4, pp. 685-719. http://geodesic.mathdoc.fr/item/RM_2012_67_4_a1/