Schubert calculus and Gelfand-Zetlin polytopes
Algebraic Geometry
2013-01-18 v2
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.
Keywords
Cite
@article{arxiv.1101.0278,
title = {Schubert calculus and Gelfand-Zetlin polytopes},
author = {Valentina Kiritchenko and Evgeny Smirnov and Vladlen Timorin},
journal= {arXiv preprint arXiv:1101.0278},
year = {2013}
}
Comments
33 pages, 4 figures, introduction rewritten, Section 4 restructured, typos corrected