Homotopy field theory in dimension 3 and crossed group-categories
| dc.creator | Turaev, Vladimir | |
| dc.date | 2000-05-31 | |
| dc.date.accessioned | 2026-07-07T04:35:37Z | |
| dc.date.available | 2026-07-07T04:35:37Z | |
| dc.description | A 3-dimensional homotopy quantum field theory (HQFT) can be described as a TQFT for surfaces and 3-cobordisms endowed with homotopy classes of maps into a given space. For a group $π$, we introduce a notion of a modular crossed $π$-category and show that such a category gives rise to a 3-dimensional HQFT with target space $K(π,1)$. This includes numerical invariants of 3-dimensional $π$-manifolds and a 2-dimensional homotopy modular functor. We also introduce and discuss a parallel notion of a quasitriangular crossed Hopf $π$-coalgebra. | |
| dc.description | 76 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/math/0005291 | |
| dc.identifier | http://arxiv.org/abs/math/0005291 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59313 | |
| dc.subject | Geometric Topology | |
| dc.subject | Quantum Algebra | |
| dc.subject | 57Mxx | |
| dc.title | Homotopy field theory in dimension 3 and crossed group-categories | |
| dc.type | text |