Applying TQFT to count regular coverings of Seifert 3-manifolds

Abstract

I give a formula for computing the number of regular $\Gamma$-coverings of closed orientable Seifert 3-manifolds, for a given finite group $\Gamma$. The number is computed using a 3d TQFT with finite gauge group, through a cut-and-glue process.

16 pages; Journal of Geometry and Physics, 2012

References in corpus (2)

• Dijkgraaf-Witten invariants of surfaces and projective representations of groups
• Counting homomorphisms onto finite solvable groups

Cited by in corpus (4)

• The Dijkgraaf-Witten invariants of Seifert 3-manifolds with orientable bases
• Computational complexity and 3-manifolds and zombies
• Alexander polynomial, Dijkgraaf-Witten invariant, and Seifert fibred surgery
• Computing untwisted Dijkgraaf-Witten invariants for arborescent links