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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.20038 |
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| _version_ | 1866913911677124608 |
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| author | Fu, Zenan |
| author_facet | Fu, Zenan |
| contents | Generalizing the results by Fomin-Pylyavskyy and Carde, we construct a family of natural cluster structures in the coordinate ring of a mixed Grassmannian, the configuration space of tuples of several vectors and covectors in a finite-dimensional complex vector space. We describe and explore these cluster structures using the machinery of weaves introduced by Casals and Zaslow. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_20038 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cluster structures in mixed Grassmanianns Fu, Zenan Combinatorics Commutative Algebra Representation Theory 13F60 (Primary) 05E99, 13A50, 14M15, 15A72, 15A75 (Secondary) Generalizing the results by Fomin-Pylyavskyy and Carde, we construct a family of natural cluster structures in the coordinate ring of a mixed Grassmannian, the configuration space of tuples of several vectors and covectors in a finite-dimensional complex vector space. We describe and explore these cluster structures using the machinery of weaves introduced by Casals and Zaslow. |
| title | Cluster structures in mixed Grassmanianns |
| topic | Combinatorics Commutative Algebra Representation Theory 13F60 (Primary) 05E99, 13A50, 14M15, 15A72, 15A75 (Secondary) |
| url | https://arxiv.org/abs/2506.20038 |