Dijkgraaf-Witten invariants of surfaces and projective representations of groups

Abstract

We compute the Dijkgraaf-Witten invariants of surfaces in terms of projective representations of groups. As an application we prove that the complex Dijkgraaf-Witten invariants of surfaces of positive genus are positive integers.

arXiv commentsecond version: a mistake corrected in the non-orientable case and a few improvements added

References in corpus (5)

• Chern-Simons Theory with Finite Gauge Group
• Higher Algebraic Structures and Quantization
• Lattice Topological Field Theory in Two Dimensions
• Homotopy field theory in dimension 2 and group-algebras
• Lattice Topological Field Theory on Non-Orientable Surfaces

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