Abelian homotopy Dijkgraaf-Witten theory

Details Abelian homotopy Dijkgraaf-Witten theory Abelian homotopy Dijkgraaf-Witten theory

2004-10-06

arxiv.org/abs/math/0410179v1

Adv.Theor.Math.Phys. 9 (2005) 321-353

Mathematics

Quantum Algebra

23 pages, 1 figure

Scientific paper

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.

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