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On numerical invariants for knots in the solid torus

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Bataineh K.

Open Mathematics

2015

tom 13

nr 1

We define some new numerical invariants for knots with zero winding number in the solid torus. These invariants explore some geometric features of knots embedded in the solid torus. We characterize these invariants and interpret them on the level of the knot projection. We also find some relations among some of these invariants. Moreover, we give lower bounds for some of these invariants using Vassiliev invariants of type one. We connect our invariants to the bridge number in the solid torus. We give a lower bound and an upper bound of the wrap of a knot in the solid torus in terms of our new invariants.

Ograniczanie wyników

1 Open Mathematics

1 Bataineh K.

1 2015

Wyniki wyszukiwania

On numerical invariants for knots in the solid torus