Hook Multiplication in the Quantum K-Theory of Grassmannians
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866909988599889920 |
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| author | Hamlin, Joy |
| author_facet | Hamlin, Joy |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_08038 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Hook Multiplication in the Quantum K-Theory of Grassmannians Hamlin, Joy Combinatorics Algebraic Geometry 14N35 (primary) 05E14, 14M15, 14N10, 14N15, 19E08 (secondary) 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. |
| title | Hook Multiplication in the Quantum K-Theory of Grassmannians |
| topic | Combinatorics Algebraic Geometry 14N35 (primary) 05E14, 14M15, 14N10, 14N15, 19E08 (secondary) |
| url | https://arxiv.org/abs/2601.08038 |