In this paper, we give a proof of a conjecture which says that , where is the width of a knot, is a satellite knot with as its companion, and is the winding number of the pattern. We also show that equality holds if is a satellite knot with braid pattern.
"Width of a satellite knot and its companion." Algebr. Geom. Topol. 18 (1) 1 - 13, 2018. https://doi.org/10.2140/agt.2018.18.1