Triple-crossing number, the genus of a knot or link and torus knots (2003.12851v2)

Published 28 Mar 2020 in math.GT

Abstract: We show that the triple-crossing number of any knot is greater or equal to twice its (canonical) genus and we show an even stronger bound in the case of links. As an application we show that this bound is strong enough to obtain the triple-crossing numbers of all torus knots, and of many more knots and their connected sums.

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Authors (1)

Michal Jablonowski

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