English

Turaev Torsion Invariants of 3-orbifolds

Geometric Topology 2016-02-03 v1

Abstract

We construct a combinatorial invariant of 3-orbifolds with singular set a link that generalizes the Turaev torsion invariant of 3-manifolds. We give several gluing formulas from which we derive two consequences. The first is an understanding of how the components of the invariant change when we remove a curve from the singular set. The second is a formula relating the invariant of the 3-orbifold to the Turaev torsion invariant of the underlying 3-manifold in the case when the singular set is a nullhomologous knot.

Keywords

Cite

@article{arxiv.1602.01077,
  title  = {Turaev Torsion Invariants of 3-orbifolds},
  author = {Biji Wong},
  journal= {arXiv preprint arXiv:1602.01077},
  year   = {2016}
}

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17 pages