The crossing number of satellite knots

Abstract

We show that the crossing number of a satellite knot is at least 10^{-13} times the crossing number of its companion knot.

26 pages, 10 figures; v2: a significant gap in the proof has been filled

References in corpus (1)

• The crossing number of composite knots

Cited by in corpus (2)

• A quantitative Birman-Menasco finiteness theorem and its application to crossing number
• Crossing numbers of cable knots