Quantum integrable model for the quantum cohomology/K-theory of flag varieties and the double $β$-Grothendieck polynomials
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908319695765504 |
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| author | Guo, Jirui |
| author_facet | Guo, Jirui |
| contents | A GL$(n)$ quantum integrable system generalizing the asymmetric five vertex spin chain is shown to encode the ring relations of the equivariant quantum cohomology and equivariant quantum K-theory ring of flag varieties. We also show that the Bethe ansatz states of this system generate the double $β$-Grothendieck polynomials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_03768 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum integrable model for the quantum cohomology/K-theory of flag varieties and the double $β$-Grothendieck polynomials Guo, Jirui Mathematical Physics High Energy Physics - Theory Algebraic Geometry Combinatorics Exactly Solvable and Integrable Systems A GL$(n)$ quantum integrable system generalizing the asymmetric five vertex spin chain is shown to encode the ring relations of the equivariant quantum cohomology and equivariant quantum K-theory ring of flag varieties. We also show that the Bethe ansatz states of this system generate the double $β$-Grothendieck polynomials. |
| title | Quantum integrable model for the quantum cohomology/K-theory of flag varieties and the double $β$-Grothendieck polynomials |
| topic | Mathematical Physics High Energy Physics - Theory Algebraic Geometry Combinatorics Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2502.03768 |