@article{a8b775c72cff4c4dadd9a9a2ea98d56b,
title = "Equivariant $K$-theory of Grassmannians II: the Knutson-Vakil conjecture",
abstract = "In 2005, Knutson-Vakil conjectured a puzzle rule for equivariant -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.",
keywords = "Grassmannian, Littlewood-Richardson rule, Schubert calculus, equivariant K-theory, puzzle",
author = "Oliver Pechenik and Alexander Yong",
note = "Funding Information: We thank Hugh Thomas for enlightening conversations during our work on [PY15] and also thank Allen Knutson and Ravi Vakil for helpful correspondence. We thank two anonymous reviewers for helpful comments. O. P. was supported by an Illinois Distinguished Fellowship, an NSF Graduate Research Fellowship and NSF MCTP grant DMS 0838434. A. Y. was supported by NSF grants.",
year = "2017",
month = apr,
day = "1",
doi = "10.1112/S0010437X16008186",
language = "English (US)",
volume = "153",
pages = "667--677",
journal = "Compositio Mathematica",
issn = "0010-437X",
publisher = "Cambridge University Press",
number = "4",
}