Essential surfaces of non-negative Euler characteristic in genus two handlebody exteriors

Abstract

We provide a classification of the essential surfaces of non-negative Euler characteristic in the exteriors of genus two handlebodies embedded in the 3-sphere.

29 pages, 21 figures, v4: contains an appendix by Cameron Gordon, references updated, minor changes from version 3; to appear in Transactions of the American Mathematical Society

References in corpus (3)

• Automorphisms of the 3-sphere that preserve a genus two Heegaard splitting
• Genus bounds bridge number for high distance knots
• Automorphisms of the 3-sphere that preserve spatial graphs and handlebody-knots