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Creators/Authors contains: "Gagnon-Ririe, Levi"

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  1. ; (, Journal of Geometry and Physics)
    We construct a two dimensional unoriented open/closed topological field theory from a finite graded group $$\pi:\Gh \twoheadrightarrow \{1,-1\}$$, a $$\pi$$-twisted $$2$$-cocycle $$\hat{\theta}$$ on $$B \hat{G}$$ and a character $$\lambda: \hat{G} \rightarrow U(1)$$. The underlying oriented theory is a twisted Dijkgraaf--Witten theory. The construction is based on a detailed study of the $$(\hat{G}, \hat{\theta},\lambda)$$-twisted Real representation theory of $$\textnormal{ker} \pi$$. In particular, twisted Real representations are boundary conditions of the unoriented theory and the generalized Frobenius--Schur element is its crosscap state. 
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