dorsal/arxiv
View SchemaOn the Witten-Reshetikhin-Turaev representations of mapping class groups
| Authors | Patrick M. Gilmer |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9701042 |
| URL | https://arxiv.org/abs/q-alg/9701042 |
| DOI | 10.1090/S0002-9939-99-04796-6 |
| Journal | Proc. Amer. Math. Soc. 127 (1999), 2483-2488 |
Abstract
We consider a central extension of the mapping class group of a surface with a collection of framed colored points. The Witten-Reshetikhin-Turaev TQFTs associated to SU(2) and SO(3) induce linear representations of this group. We show that the denominators of matrices which describe these representation over a cyclotomic field can be restricted in many cases. In this way, we give a proof of the known result that if the surface is a torus and there are no colored points, the representations have finite image.
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"abstract": "We consider a central extension of the mapping class group of a surface with\na collection of framed colored points. The Witten-Reshetikhin-Turaev TQFTs\nassociated to SU(2) and SO(3) induce linear representations of this group. We\nshow that the denominators of matrices which describe these representation over\na cyclotomic field can be restricted in many cases. In this way, we give a\nproof of the known result that if the surface is a torus and there are no\ncolored points, the representations have finite image.",
"arxiv_id": "q-alg/9701042",
"authors": [
"Patrick M. Gilmer"
],
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"q-alg",
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"doi": "10.1090/S0002-9939-99-04796-6",
"journal_ref": "Proc. Amer. Math. Soc. 127 (1999), 2483-2488",
"title": "On the Witten-Reshetikhin-Turaev representations of mapping class groups",
"url": "https://arxiv.org/abs/q-alg/9701042"
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