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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.00146 |
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| _version_ | 1866912993419198464 |
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| author | Chaudhuri, Chitrabhanu Mukherjee, Saswati |
| author_facet | Chaudhuri, Chitrabhanu Mukherjee, Saswati |
| contents | We explicitly describe unitary representations of mixed braid groups on the cohomology of Abelian branched covers of $\mathbf{CP}^1$ . We show that the image of the representation is generated by complex reflections and relate it to the multivariate Burau representation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_00146 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Monodromy Representations of Mixed Braid Groups Chaudhuri, Chitrabhanu Mukherjee, Saswati Geometric Topology Representation Theory 20F36 30F10 58K10 We explicitly describe unitary representations of mixed braid groups on the cohomology of Abelian branched covers of $\mathbf{CP}^1$ . We show that the image of the representation is generated by complex reflections and relate it to the multivariate Burau representation. |
| title | Monodromy Representations of Mixed Braid Groups |
| topic | Geometric Topology Representation Theory 20F36 30F10 58K10 |
| url | https://arxiv.org/abs/2604.00146 |