Unknotting surface links which are coverings of a trivial torus knot

Mathematics – Geometric Topology

Scientific paper

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9 pages, 2 figures

Scientific paper

We consider surface links in the 4-sphere or 4-space which can be deformed to simple branched coverings of a trivial torus knot, which we call torus-covering-links. Torus-covering-links contain spun $T^2$-knots, turned spun $T^2$-knots, symmetry-spun tori and torus $T^2$-knots. In this paper we study unknotting numbers of torus-covering-links. In particular we give examples of torus-covering-knots whose unknotting number is an arbitrary positive integer.

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