Canonical genus and the Whitehead doubles of pretzel knots

Abstract

We show that for an alternating pretzel knot K the canonical genera of its Whitehead doubles W(K) are equal to the crossing number c(K) of K, verifying a conjecture of Tripp in the case of these knots.

16 pages, 12 figures

Cited by in corpus (1)

• Families of knots for which Morton's inequality is strict