A Chevalley formula for the equivariant quantum K-theory of cominuscule varieties

2016/04/26 by Buch, Anders S., Chaput, Pierre-Emmanuel, Mihalcea, Leonardo C. +1 · 2 citations
#14M15 #14N15 #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics #Primary 14N35 #Secondary 19E08

paper · doi:10.48550/arxiv.1604.07500

Abstract

We prove a type-uniform Chevalley formula for multiplication with divisor classes in the equivariant quantum K-theory ring of any cominuscule flag variety G/P. We also prove that multiplication with divisor classes determines the equivariant quantum K-theory of arbitrary flag varieties. These results prove a conjecture of Gorbounov and Korff concerning the equivariant quantum K-theory of Grassmannians of Lie type A.

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• Conjectural Positivity for Pontryagin Product in Equivariant K-theory of Loop Groups
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