Marked Bumpless Pipedreams and Compatible Pairs
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916336314089472 |
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| author | Huang, Daoji Shimozono, Mark Yu, Tianyi |
| author_facet | Huang, Daoji Shimozono, Mark Yu, Tianyi |
| contents | We construct a bijection between marked bumpless pipedreams with reverse compatible pairs, which are in bijection with not-necessarily-reduced pipedreams. This directly unifies various formulas for Grothendieck polynomials in the literature. Our bijection is a generalization of a variant of the bijection of Gao and Huang in the unmarked, reduced case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_18160 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Marked Bumpless Pipedreams and Compatible Pairs Huang, Daoji Shimozono, Mark Yu, Tianyi Combinatorics 05A19 05E05 We construct a bijection between marked bumpless pipedreams with reverse compatible pairs, which are in bijection with not-necessarily-reduced pipedreams. This directly unifies various formulas for Grothendieck polynomials in the literature. Our bijection is a generalization of a variant of the bijection of Gao and Huang in the unmarked, reduced case. |
| title | Marked Bumpless Pipedreams and Compatible Pairs |
| topic | Combinatorics 05A19 05E05 |
| url | https://arxiv.org/abs/2407.18160 |