Pairs of boundary slopes with small differences

Abstract

We show that, for any positive real number, there exists a knot in the 3-sphere admitting a pair of boundary slopes whose difference is at most the given number.

9 pages, 1 figure. v2: Lemma 3 is simplified, typos corrected

References in corpus (3)

• Knots with only two strict essential surfaces
• Boundary slopes and the numbers of positive/negative crossings for Montesinos knots
• Denominators and Differences of Boundary Slopes for (1,1)-Knots