Mathematics – Quantum Algebra
Scientific paper
2001-11-07
Mathematics
Quantum Algebra
22 pages, with minor corrections
Scientific paper
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 $\pi$-category when the background space is an Eilenberg-Maclane space $X=K(\pi,1)$, and to a tortile category with lax $\pi_2X$-action when the background space is simply-connected.
Brightwell Mark
Turner Paul
No associations
LandOfFree
Homotopy quantum field theories and tortile structures does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Homotopy quantum field theories and tortile structures, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Homotopy quantum field theories and tortile structures will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-102894