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Beliakova, A (1999). Refined invariants and TQFTs from Homfly skein theory. Journal of Knot Theory and Its Ramifications, 8(5):569-587.
We work in the reduced SU(N, K) modular category as constructed recently by Blanchet. We define spin type and cohomological refinements of the Turaev-Viro invariants of closed oriented 3-manifolds and give a formula relating them to Blanchet's invariants. Roberts' definition of the Turaev-Viro state sum is exploited. Furthermore, we construct refined Turaev-Viro and Reshetikhin-Turaev TQFTs and study the relationship between them.
| 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 > Algebra and Number Theory |
| Uncontrolled Keywords: | Modular categories, Turaev-Viro invariants, spin structures, Heegaard splitting |
| Language: | English |
| Date: | 1999 |
| Deposited On: | 19 Apr 2010 10:34 |
| Last Modified: | 03 Mar 2025 02:37 |
| Publisher: | World Scientific Publishing |
| ISSN: | 0218-2165 |
| Additional Information: | Electronic version of an article published as [ J. Knot Theory Ramifications 8 (1999), no. 5, 569--587] © 1999 copyright World Scientific Publishing Company [http://www.worldscinet.com/jktr/jktr.shtml] |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.1142/S0218216599000390 |
Beliakova, A