{"pk":64822,"title":"A bijective proof of Kohnert's rule for Schubert polynomials","subtitle":null,"abstract":"Kohnert proposed a formula for Schubert polynomials as the generating polynomial for certain unit cell diagrams obtained from the diagram of a permutation. Billey, Jockusch and Stanley proved a formula for Schubert polynomials as the generating polynomial for compatible sequences of reduced words. In this paper, we give an explicit bijection between these two models, thereby proving Kohnert's rule for Schubert polynomials.\n \nMathematics Subject Classifications: 05A05, 05A19, 14N10, 14N15","language":"en","license":{"name":"Creative Commons Attribution 4.0","short_name":"CC BY 4.0","text":"Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.\n\nNo additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.","url":"https://creativecommons.org/licenses/by/4.0"},"keywords":[{"word":"Schubert polynomials"},{"word":"Kohnert’s rule"},{"word":"Kohnert diagrams"},{"word":"reduced words"}],"section":"Research Articles","is_remote":true,"remote_url":"https://escholarship.org/uc/item/2t93n5mm","frozenauthors":[{"first_name":"Sami","middle_name":"H.","last_name":"Assaf","name_suffix":"","institution":"University of Southern California, 3620 S. Vermont Ave., Los Angeles, CA 90089, U.S.A.","department":""}],"date_submitted":"2022-03-23T19:58:17Z","date_accepted":"2022-03-23T19:58:17Z","date_published":"2022-03-31T07:00:00Z","render_galley":null,"galleys":[{"label":"","type":"pdf","path":"https://journalpub.escholarship.org/combinatorial_theory/article/64822/galley/49632/download/"}]}