Noncrossing Partition Lattices from Planar Configurations
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866914948882366464 |
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| author | Cohen, Stella Dougherty, Michael Harsh, Andrew D. Martin, Spencer Park |
| author_facet | Cohen, Stella Dougherty, Michael Harsh, Andrew D. Martin, Spencer Park |
| contents | The lattice of noncrossing partitions is well-known for its wide variety of combinatorial appearances and properties. For example, the lattice is rank-symmetric and enumerated by the Catalan numbers. In this article, we introduce a large family of new noncrossing partition lattices with both of these properties, each parametrized by a configuration of n points in the plane. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_08119 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Noncrossing Partition Lattices from Planar Configurations Cohen, Stella Dougherty, Michael Harsh, Andrew D. Martin, Spencer Park Combinatorics 05A18, 52A10, 52C35 The lattice of noncrossing partitions is well-known for its wide variety of combinatorial appearances and properties. For example, the lattice is rank-symmetric and enumerated by the Catalan numbers. In this article, we introduce a large family of new noncrossing partition lattices with both of these properties, each parametrized by a configuration of n points in the plane. |
| title | Noncrossing Partition Lattices from Planar Configurations |
| topic | Combinatorics 05A18, 52A10, 52C35 |
| url | https://arxiv.org/abs/2306.08119 |