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$K$-theory of Grassmannians II: the Knutson–Vakil conjecture
In 2005, Knutson–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.
