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Equivariant K-theory of Grassmannians II: The Knutson-Vakil conjecture (1508.00446v1)
Published 3 Aug 2015 in math.CO and math.AG
Abstract: In 2005, A. Knutson--R. Vakil conjectured a puzzle rule for equivariant K-theory of Grassmannians. We resolve this conjecture. After giving a correction, we establish a modified rule by combinatorially connecting it to the authors' recently proved tableau rule for the same Schubert calculus problem.