Equivariant K-theory of Grassmannians II: The Knutson-Vakil conjecture

2015/08/03 by Oliver Pechenik, Alexander Yong · 2 citations
Mathematics · #math.CO #math.AG

paper · pdf · doi:10.1112/s0010437x16008186

published as Compositio Math. 153 (2017) 667-677 · 11 pages. Significant use of color figures

arxiv created 2015/08/03 · arxiv updated 2019/02/20

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.

Cited by

• Twisted factorial Grothendieck polynomials and equivariant K-theory of weighted Grassmann orbifolds
• Signed puzzles for Schubert coefficients