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Beliakova, Anna; Chen, Qi; Le, Thang (2014). On the integrality of Witten-Reshetikhin-Turaev 3-manifold invariants. Quantum Topology, 5(1):99-141.
We prove that the SU.(2) Witten-Reshetikhin-Turaev invariant of any 3-manifold with any colored link inside at any root of unity is an algebraic integer. As a byproduct, we get a new proof of the integrality of the SO.(3) Witten-Reshetikhin-Turaev invariant for any 3-manifold with any colored link inside at any root of unity of odd order.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Mathematical Physics
Physical Sciences > Geometry and Topology |
| Language: | English |
| Date: | 2014 |
| Deposited On: | 30 Sep 2014 14:02 |
| Last Modified: | 03 Aug 2024 03:38 |
| Publisher: | EMS European Mathematical Society |
| ISSN: | 1664-073X |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.4171/QT/48 |
Beliakova, Anna