Biji Wong, Brandeis: Seiberg-Witten & Turaev torsion invariants of 3-orbifolds
Abstract: We construct a torsion invariant of 3-orbifolds with singular set a link. It generalizes the Turaev torsion invariant of 3-manifolds, and gives more information than Baldridge’s Seiberg-Witten orbifold invariant. Furthermore, when the singular set is a nullhomologous knot, the invariant not only recovers the Turaev torsion invariant of the underlying 3-manifold, but also detects the isotropy group associated to the knot, and the Turaev torsion invariant of the exterior.
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