Prime knot complements with meridional essential surfaces of arbitrarily high genus

Abstract

We show the existence of infinitely many prime knots each of which having in their complements meridional essential surfaces with two boundary components and arbitrarily high genus.

15 pages, 13 figures

Cited by in corpus (2)

• Knot exteriors with all possible meridional essential surfaces
• Infinitely many meridional essential surfaces of bounded genus in hyperbolic knot exteriors