Minimum quantum degrees with Maya diagrams
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866915161789431808 |
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| author | Shifler, Ryan M. |
| author_facet | Shifler, Ryan M. |
| contents | We use Maya diagrams to refine the criterion by Fulton and Woodward for the smallest powers of the quantum parameter $q$ that occur in a product of Schubert classes in the (small) quantum cohomology of partial flags. Our approach using Maya diagrams yields a combinatorial proof that the minimal quantum degrees are unique for partial flags. Furthermore, visual combinatorial rules are given to perform precise calculations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2201_03124 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Minimum quantum degrees with Maya diagrams Shifler, Ryan M. Algebraic Geometry We use Maya diagrams to refine the criterion by Fulton and Woodward for the smallest powers of the quantum parameter $q$ that occur in a product of Schubert classes in the (small) quantum cohomology of partial flags. Our approach using Maya diagrams yields a combinatorial proof that the minimal quantum degrees are unique for partial flags. Furthermore, visual combinatorial rules are given to perform precise calculations. |
| title | Minimum quantum degrees with Maya diagrams |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2201.03124 |