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A jeu de taquin theory for increasing tableaux, with applications to K-theoretic Schubert calculus

A jeu de taquin theory for increasing tableaux, with applications to K-theoretic Schubert calculus

We introduce a theory of jeu de taquin for increasing tableaux, extending fundamental work of Schützenberger (1977) for standard Young tableaux.We apply this to give a new combinatorial rule for the K-theory Schubert calculus of Grassmannians via K-theoretic jeu de taquin, providing an alternative to the rules of Buch and …