Counting regular coverings of Seifert fibered manifolds

Details Counting regular coverings of Seifert fibered manifolds Counting regular coverings of Seifert fibered manifolds

2011-10-02

arxiv.org/abs/1110.0186v1

Mathematics

Geometric Topology

16 pages

Scientific paper

I give some formulae for the numbers of regular coverings of closed orientable Seifert manifolds, with a finite covering group, by counting homomorphisms of the fundamental groups into this finite group. The method is based on topological quantum field theory. Namely, the numbers of homomorphisms are dealt with as the path-integrals of a 3d untwisted TQFT with finite gauge group, and they can be computed through a cut-and-glue process.

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