Cornered skein lasagna theory
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911304657141760 |
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| author | Blackwell, Sarah Krushkal, Vyacheslav Luo, Yangxiao |
| author_facet | Blackwell, Sarah Krushkal, Vyacheslav Luo, Yangxiao |
| contents | We extend the skein lasagna theory of Morrison-Walker-Wedrich to 4-manifolds with corners and formulate gluing formulas for 4-manifolds with boundary and, more generally, with corners. As an application, we develop a categorical framework for a presentation of the skein lasagna module of trisected closed 4-manifolds. Further, we extend the theory to dimension two by introducing bicategories for closed oriented surfaces and proving a gluing formula for the categories associated with 3-manifolds with boundary. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_05861 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cornered skein lasagna theory Blackwell, Sarah Krushkal, Vyacheslav Luo, Yangxiao Geometric Topology Algebraic Topology Quantum Algebra We extend the skein lasagna theory of Morrison-Walker-Wedrich to 4-manifolds with corners and formulate gluing formulas for 4-manifolds with boundary and, more generally, with corners. As an application, we develop a categorical framework for a presentation of the skein lasagna module of trisected closed 4-manifolds. Further, we extend the theory to dimension two by introducing bicategories for closed oriented surfaces and proving a gluing formula for the categories associated with 3-manifolds with boundary. |
| title | Cornered skein lasagna theory |
| topic | Geometric Topology Algebraic Topology Quantum Algebra |
| url | https://arxiv.org/abs/2512.05861 |