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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Online-Zugang: | https://arxiv.org/abs/2504.14393 |
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| _version_ | 1866916698755432448 |
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| author | Barnard, Emily Reading, Nathan Tharp, Ashley M. |
| author_facet | Barnard, Emily Reading, Nathan Tharp, Ashley M. |
| contents | Noncrossing arc diagrams are combinatorial models for permutations that encode information about lattice congruences of the weak order and about the associated discrete geometry. In this paper, we consider two related, analogous models for signed permutations. One model features centrally symmetric noncrossing arc diagrams, while the other features their quotients modulo the central symmetry. We demonstrate the utility of the models by applying them to various questions about lattice quotients of the weak order. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_14393 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Noncrossing arc diagrams of type B Barnard, Emily Reading, Nathan Tharp, Ashley M. Combinatorics 05A05, 06B10, 05E16 Noncrossing arc diagrams are combinatorial models for permutations that encode information about lattice congruences of the weak order and about the associated discrete geometry. In this paper, we consider two related, analogous models for signed permutations. One model features centrally symmetric noncrossing arc diagrams, while the other features their quotients modulo the central symmetry. We demonstrate the utility of the models by applying them to various questions about lattice quotients of the weak order. |
| title | Noncrossing arc diagrams of type B |
| topic | Combinatorics 05A05, 06B10, 05E16 |
| url | https://arxiv.org/abs/2504.14393 |