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This article is cited in 26 scientific papers (total in 26 papers)
Schubert calculus and Gelfand–Zetlin polytopes
V. A. Kirichenkoab, E. Yu. Smirnovcb, V. A. Timorindb a Institute for Information Transmission Problems of the Russian Academy of Sciences, Moscow, Russia
b National Research University Higher School of Economics
c Laboratoire J.-V. Poncelet (UMI 2615 du CNRS)
d Independent University of Moscow
Abstract:
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, Schubert calculus, Gelfand–Zetlin polytope, volume polynomial.
Received: 25.05.2012
Citation:
V. A. Kirichenko, E. Yu. Smirnov, V. A. Timorin, “Schubert calculus and Gelfand–Zetlin polytopes”, Uspekhi Mat. Nauk, 67:4(406) (2012), 89–128; Russian Math. Surveys, 67:4 (2012), 685–719
Linking options:
https://www.mathnet.ru/eng/rm9492https://doi.org/10.1070/RM2012v067n04ABEH004804 https://www.mathnet.ru/eng/rm/v67/i4/p89
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Abstract page: | 1297 | Russian version PDF: | 575 | English version PDF: | 22 | References: | 84 | First page: | 47 |
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