Computing untwisted Dijkgraaf-Witten invariants for arborescent links

Abstract

We briefly review 3-dimensional untwisted Dijkgraaf-Witten theory over a finite group $\Gamma$, and present a method of computing untwisted Dijkgraaf-Witten invariants for arborescent links. Some explicit formulas are given when $\Gamma =\mathbb{Z}/p\mathbb{Z}⋊\mathbb{Z}/(p-1)\mathbb{Z}$ for an odd prime $p$.

21 pages, 6 figures. This is the final version. arXiv admin note: text overlap with arXiv:1209.4283

References in corpus (3)

• Cohomological Twisting of 2-Linearization and Extended TQFT
• Applying TQFT to count regular coverings of Seifert 3-manifolds
• Computing twisted Alexander polynomials for Montesinos links