56 citations · 77 across the 14 of their papers we have counts for
4 papers · 2 filters
Uniqueness of bridge surfaces for 2-bridge knots
Martin Scharlemann, Maggy Tomova
Any 2-bridge knot in the 3-sphere has a bridge sphere from which any other bridge surface can be obtained by stabilization, meridional stabilization, perturbation and proper isotop…
Conway products and links with multiple bridge surfaces
Martin Scharlemann, Maggy Tomova
Suppose a link K in a 3-manifold M is in bridge position with respect to two different bridge surfaces P and Q, both of which are c-weakly incompressible in the complement of K. Th…
Generalized Property R and the Schoenflies Conjecture
Martin Scharlemann
There is a relation between the generalized Property R Conjecture and the Schoenflies Conjecture that suggests a new line of attack on the latter. The approach gives a quick proof…
Refilling meridians in a genus 2 handlebody complement
Martin Scharlemann
Suppose a genus two handlebody is removed from a 3-manifold M and then a single meridian of the handlebody is restored. The result is a knot or link complement in M and it is natur…