Orientation twisted homotopy field theories and twisted unoriented Dijkgraaf-Witten theory

Matthew B. Young

Given a finite ${\mathbb{Z}}_2$-graded group $\hat{\mathsf{G}}$ with ungraded subgroup $\mathsf{G}$ and a twisted cocycle $\hat{\lambda }\in Z^n(B\hat{\mathsf{G}};\mathsf{U}(1{)}_{\pi })$ which r…