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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.13770 |
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| _version_ | 1866911681805811712 |
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| author | Müller, Matthias |
| author_facet | Müller, Matthias |
| contents | Alt $ν$-Tamari lattices constitute a remarkable family of lattices associated with lattice paths that broadly generalize the Dyck and Tamari lattices. To systematically study the structural properties of this family, we introduce a combinatorial model that realizes the canonical join complex of alt $ν$-Tamari lattices. Serving as a universal tool, this model allows us to prove vertex decomposability, establish an explicit shelling order, and reveal the underlying homology of the canonical join complex of alt $ν$-Tamari lattices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_13770 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A combinatorial model for the canonical join complex of alt $ν$-Tamari lattices Müller, Matthias Combinatorics Alt $ν$-Tamari lattices constitute a remarkable family of lattices associated with lattice paths that broadly generalize the Dyck and Tamari lattices. To systematically study the structural properties of this family, we introduce a combinatorial model that realizes the canonical join complex of alt $ν$-Tamari lattices. Serving as a universal tool, this model allows us to prove vertex decomposability, establish an explicit shelling order, and reveal the underlying homology of the canonical join complex of alt $ν$-Tamari lattices. |
| title | A combinatorial model for the canonical join complex of alt $ν$-Tamari lattices |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2605.13770 |