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arXiv · 2601.08038

Hook Multiplication in the Quantum K-Theory of Grassmannians

Joy Hamlin
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Abstract

We study the quantum K-theory ring $QK(X)$ of a Grassmannian $X$ and prove a manifestly positive formula for the product of an arbitrary class by a hook class. This generalizes the quantum K-theoretic Pieri rule, a prior result of Buch and Mihalcea. We also present a combinatorial interpretation of this result.

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Joy Hamlin. 2026-01-12. Hook Multiplication in the Quantum K-Theory of Grassmannians. https://arxiv.org/abs/2601.08038

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