Abelian homotopy Dijkgraaf-Witten theory
Hansen, Søren K. ; Slingerland, Johannes K. ; Turner, Paul R.
Adv. Theor. Math. Phys., Tome 9 (2005) no. 2, p. 321-353 / Harvested from Project Euclid
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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 $\rm U(1)$ classifies lens spaces up to homotopy type.
Publié le : 2005-04-14
Classification:  53Cxx,  55Pxx,  57Rxx,  58Jxx,  81T45 
@article{1143663721,
     author = {Hansen, S\o ren K. and Slingerland, Johannes K. and Turner, Paul R.},
     title = {Abelian homotopy Dijkgraaf-Witten theory},
     journal = {Adv. Theor. Math. Phys.},
     volume = {9},
     number = {2},
     year = {2005},
     pages = { 321-353},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1143663721}
}

Hansen, Søren K.; Slingerland, Johannes K.; Turner, Paul R. Abelian homotopy Dijkgraaf-Witten theory. Adv. Theor. Math. Phys., Tome 9 (2005) no. 2, pp.  321-353. http://gdmltest.u-ga.fr/item/1143663721/