Homotopy quantum field theories and tortile structures
| dc.creator | Brightwell, M. | |
| dc.creator | Turner, P. | |
| dc.date | 2001-11-07 | |
| dc.date | 2002-03-13 | |
| dc.date.accessioned | 2026-07-07T04:44:26Z | |
| dc.date.available | 2026-07-07T04:44:26Z | |
| dc.description | We study a variation of Turaev's homotopy quantum field theories using 2-categories of surfaces. We define the homotopy surface 2-category of a space $X$ and define an $\cS_X$-structure to be a monoidal 2-functor from this to the 2-category of idempotent-complete additive $k$-linear categories. We initiate the study of the algebraic structure arising from these functors. In particular we show that, under certain conditions, an $\cS_X$-structure gives rise to a lax tortile $π$-category when the background space is an Eilenberg-Maclane space $X=K(π,1)$, and to a tortile category with lax $π_2X$-action when the background space is simply-connected. | |
| dc.description | 22 pages, with minor corrections | |
| dc.identifier | https://arxiv.org/abs/math/0111084 | |
| dc.identifier | http://arxiv.org/abs/math/0111084 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62589 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Geometric Topology | |
| dc.title | Homotopy quantum field theories and tortile structures | |
| dc.type | text |