Abelian homotopy Dijkgraaf-Witten theory
Quantum Algebra
2007-05-23 v1 High Energy Physics - Theory
Abstract
We construct a version of Dijkgraaf-Witten theory based on a compact abelian Lie group within the formalism of Turaev's homotopy quantum field theory. As an application we show that the 2+1-dimensional theory based on U(1) classifies lens spaces up to homotopy type.
Cite
@article{arxiv.math/0410179,
title = {Abelian homotopy Dijkgraaf-Witten theory},
author = {S. K. Hansen and J. K. Slingerland and P. R. Turner},
journal= {arXiv preprint arXiv:math/0410179},
year = {2007}
}
Comments
23 pages, 1 figure