Induction in perverse schobers and cluster tilting theory
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866908588669140992 |
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| author | Christ, Merlin |
| author_facet | Christ, Merlin |
| contents | We exhibit gluing properties of cluster tilting subcategories in exact $\infty$-categories within the framework of perverse schobers on surfaces with boundary. These results are based on a study of the restriction functors from global sections of perverse schobers to local sections and their adjoint induction functors. New examples include cluster tilting subcategories in higher rank topological Fukaya categories related to higher Teichmüller theory, and cluster tilting subcategories arising from marked surfaces with punctures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_01689 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Induction in perverse schobers and cluster tilting theory Christ, Merlin Representation Theory Algebraic Topology 18N60 (Primary) 13F60, 53D37 (Secondary) We exhibit gluing properties of cluster tilting subcategories in exact $\infty$-categories within the framework of perverse schobers on surfaces with boundary. These results are based on a study of the restriction functors from global sections of perverse schobers to local sections and their adjoint induction functors. New examples include cluster tilting subcategories in higher rank topological Fukaya categories related to higher Teichmüller theory, and cluster tilting subcategories arising from marked surfaces with punctures. |
| title | Induction in perverse schobers and cluster tilting theory |
| topic | Representation Theory Algebraic Topology 18N60 (Primary) 13F60, 53D37 (Secondary) |
| url | https://arxiv.org/abs/2509.01689 |