Decomposition of the Turaev-Viro TQFT
| dc.creator | Petit, Jerome | |
| dc.date | 2009-03-26 | |
| dc.date.accessioned | 2026-07-07T12:57:00Z | |
| dc.date.available | 2026-07-07T12:57:00Z | |
| dc.description | We show that for every spherical category $\C$ with invertible dimension, the Turaev-Viro TQFT admits a splitting into blocks which come from an HQFT, called the Turaev-Viro HQFT. The Turaev-Viro HQFT has the classifying space $B\grad$ as target space, where $\grad$ is a group obtained from the category $\C$. This construction gives a reformulation of the Turaev-Viro TQFT in terms of HQFT. Furthermore the Turaev-Viro HQFT is an extension of the \emph{homotopical Turaev-Viro invariant} which splits the Turaev-Viro invariant. An application of this result is a description of the homological twisted version of the Turaev-Viro invariant in terms of HQFT. | |
| dc.identifier | https://arxiv.org/abs/0903.4512 | |
| dc.identifier | http://arxiv.org/abs/0903.4512 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/224779 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Geometric Topology | |
| dc.subject | 57N10; 18D10; 20J06 | |
| dc.title | Decomposition of the Turaev-Viro TQFT | |
| dc.type | text |