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arXiv · 2602.24050

Seidel product formula in equivariant quantum $K$-theory of flag varieties

Takeshi Ikeda·Takafumi Kouno·Satoshi Naito
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Abstract

We prove a Seidel product formula for the torus-equivariant quantum $K$-theory of a generalized flag variety $G/P.$ This is a natural generalization of the corresponding results by Buch, Chaput, and Perrin for the cominuscule flag varieties. Our proof is based on the $K$-theoretic Peterson isomorphism, due to Kato. We also use a version of the $K$-theoretic nil-Hecke algebra associated with the extended affine Weyl group, which was studied by Ikeda, Shimozono, and Yamaguchi.

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Takeshi Ikeda, Takafumi Kouno, Satoshi Naito. 2026-02-27. Seidel product formula in equivariant quantum $K$-theory of flag varieties. https://arxiv.org/abs/2602.24050

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