Turaev Torsion Invariants of 3-orbifolds

Biji Wong

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arXiv · 1602.01077

Turaev Torsion Invariants of 3-orbifolds

Biji Wong

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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.

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Biji Wong. 2016-02-02. Turaev Torsion Invariants of 3-orbifolds. https://arxiv.org/abs/1602.01077

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