PreprintThe groups of branched twist-spun knotsJonathan A. HillmanAbstractWe characterize the groups of branched twist spins of classical knots in terms of 3-manifold groups, and also give a purely algebraic, conjectural characterization in terms of \(PD_3\)-groups. We show also that each group is the group of at most finitely many branched twist spins. Keywords: cyclic branched cover, group, knot, twist spin.AMS Subject Classification: Primary 57Q45.
This paper is available as a pdf (304kB) file. It is also on the arXiv: arxiv.org/abs/2305.00443.
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