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.
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: | 26 Jun 2022 22:38 |
| 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