Boundary slopes and the numbers of positive/negative crossings for Montesinos knots

Abstract

We show that a finite numerical boundary slope of an essential surface in the exterior of a Montesinos knot is bounded above and below in terms of the numbers of positive/negative crossings of a specific minimal diagram of the knot.

arXiv comment15 pages, 11 figures

References in corpus (1)

• Boundary slopes of 2-bridge links determine the crossing number

Cited by in corpus (2)

• Chirally cosmetic surgeries and Casson invariants
• Pairs of boundary slopes with small differences