Schubert calculus and Gelfand-Zetlin polytopes

Valentina A Kirichenko, Evgeny Yu Smirnov, Vladlen A Timorin
2012 Russian Mathematical Surveys  
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.
doi:10.1070/rm2012v067n04abeh004804 fatcat:nqscxxbe4ngmbl35x4i4iwqvfm