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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.12172 |
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| _version_ | 1866914920700837888 |
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| author | Jacquet-Malo, Lucie |
| author_facet | Jacquet-Malo, Lucie |
| contents | In this article, we study the $(m+2)$-angulations on a Riemann surface, characterized with its boundary components, punctures, and gender. We count the number of arcs in such a surface, and associate a graded quiver with superpotential associated with an $(m2)$-angulation. We show the compatibility between the flip of an $(m+2)$-angulation and the flip in the unpunctured case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_12172 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A construction of the generalized higher cluster category arising from an $(m+2)$-angulation of a marked surface Jacquet-Malo, Lucie Combinatorics Category Theory Primary : 18E30, Secondary 13F60 05C62 In this article, we study the $(m+2)$-angulations on a Riemann surface, characterized with its boundary components, punctures, and gender. We count the number of arcs in such a surface, and associate a graded quiver with superpotential associated with an $(m2)$-angulation. We show the compatibility between the flip of an $(m+2)$-angulation and the flip in the unpunctured case. |
| title | A construction of the generalized higher cluster category arising from an $(m+2)$-angulation of a marked surface |
| topic | Combinatorics Category Theory Primary : 18E30, Secondary 13F60 05C62 |
| url | https://arxiv.org/abs/2408.12172 |