Quantum groups from homologies of configuration spaces
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866909200190275584 |
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| author | Bigelow, Stephen Martel, Jules |
| author_facet | Bigelow, Stephen Martel, Jules |
| contents | We reconstruct a quantum group associated with any Lie algebra together with its representation theory from twisted homologies of generalized configuration spaces of disks. Along the way it brings new combinatorics to the theory, but our diagrams represent true submanifolds of configuration spaces and combinatorial relations between them translate actual twisted homological relations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_06982 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum groups from homologies of configuration spaces Bigelow, Stephen Martel, Jules Quantum Algebra Geometric Topology We reconstruct a quantum group associated with any Lie algebra together with its representation theory from twisted homologies of generalized configuration spaces of disks. Along the way it brings new combinatorics to the theory, but our diagrams represent true submanifolds of configuration spaces and combinatorial relations between them translate actual twisted homological relations. |
| title | Quantum groups from homologies of configuration spaces |
| topic | Quantum Algebra Geometric Topology |
| url | https://arxiv.org/abs/2405.06982 |