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math.QA2004
Abelian homotopy Dijkgraaf-Witten theory
S. K. Hansen, J. K. Slingerland, P. R. Turner
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 tha…
math.QA2001
Homotopy quantum field theories and tortile structures
M. Brightwell, P. Turner
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 and define an $\cS_X$-stru…