Symmetric Dijkgraaf-Witten type invariants for 3-manifolds

2023/05/01 by Korablev, Philipp
#57K16 #57K31 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2305.00737

Abstract

In the paper we introduce the construction of invariants for 3-manifolds, based on the same key concepts as the classical Dijkgraaf-Witten invariant. We introduce the notion of a special G-system and describe how each system induces the invariant not only for closed 3-manifolds, but also for manifolds with boundary. Finally, we show how to construct a very simple one-dimensional special G-system using group cohomologies.

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