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- W3048507319 endingPage "108201" @default.
- W3048507319 startingPage "108201" @default.
- W3048507319 abstract "One approach to Schubert calculus is to realize Schubert classes as concrete combinatorial objects such as Schubert polynomials. Through an identification of the cohomology ring of the type A full flag variety with the polytope ring of the Gelfand–Tsetlin polytopes, Kiritchenko–Smirnov–Timorin realized each Schubert class as a sum of reduced (dual) Kogan faces. In this paper, we explicitly describe string parametrizations of opposite Demazure crystals, which give a natural generalization of reduced dual Kogan faces. We also relate reduced Kogan faces with Demazure crystals using the theory of mitosis operators, and apply these observations to develop the theory of Schubert calculus on symplectic Gelfand–Tsetlin polytopes." @default.
- W3048507319 created "2020-08-18" @default.
- W3048507319 creator A5028417997 @default.
- W3048507319 date "2022-03-01" @default.
- W3048507319 modified "2023-10-14" @default.
- W3048507319 title "Schubert calculus from polyhedral parametrizations of Demazure crystals" @default.
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- W3048507319 doi "https://doi.org/10.1016/j.aim.2022.108201" @default.
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