Symmetric Dijkgraaf-Witten type invariants for 3-manifolds
Geometric Topology
2023-10-03 v2
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 -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 -system using group cohomologies.
Keywords
Cite
@article{arxiv.2305.00737,
title = {Symmetric Dijkgraaf-Witten type invariants for 3-manifolds},
author = {Philipp Korablev},
journal= {arXiv preprint arXiv:2305.00737},
year = {2023}
}