Alexander polynomial, Dijkgraaf-Witten invariant, and Seifert fibred surgery
Abstract
We apply Dijkgraaf-Witten invariant over an semiproduct of abelian groups to show that, if the k/-surgery along a knot K results in a small Seifert 3-manifold with multiplicities a1,a2,a3, then many constraints on k,a1,a2,a3 can be read off from the Alexander polynomial of K.
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