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Article Dans Une Revue Algebraic Geometry Année : 2018

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

Résumé

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.

Dates et versions

hal-02102703 , version 1 (17-04-2019)

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Citer

Anders Skovsted Buch, Pierre-Emmanuel Chaput, Leonardo Constantin Mihalcea, Nicolas Perrin. A Chevalley formula for the equivariant quantum K-theory of cominuscule varieties. Algebraic Geometry, 2018, 5, pp.568-595. ⟨10.14231/AG-2018-015⟩. ⟨hal-02102703⟩
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