Ext operators for wreath Macdonald polynomials
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918125148045312 |
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| author | Ferlinc, Seamus Albion Wen, Joshua Jeishing |
| author_facet | Ferlinc, Seamus Albion Wen, Joshua Jeishing |
| contents | We introduce a wreath Macdonald polynomial analogue of the Carlsson--Nekrasov--Okounkov vertex operator. As an application, we prove a modular $(q,t)$-Nekrasov--Okounkov formula for $r\ge 3$ originally conjectured by Walsh and Warnaar. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_10772 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Ext operators for wreath Macdonald polynomials Ferlinc, Seamus Albion Wen, Joshua Jeishing Quantum Algebra Combinatorics Representation Theory Primary: 05E05, 33D52, Secondary: 14D21, 17B69 We introduce a wreath Macdonald polynomial analogue of the Carlsson--Nekrasov--Okounkov vertex operator. As an application, we prove a modular $(q,t)$-Nekrasov--Okounkov formula for $r\ge 3$ originally conjectured by Walsh and Warnaar. |
| title | Ext operators for wreath Macdonald polynomials |
| topic | Quantum Algebra Combinatorics Representation Theory Primary: 05E05, 33D52, Secondary: 14D21, 17B69 |
| url | https://arxiv.org/abs/2508.10772 |