Publications (36)
Unknotting tunnels and Seifert surfaces
Martin Scharlemann, Abigail Thompson
Heegaard splittings of compact 3-manifolds
Martin Scharlemann
One Powell generator is redundant
Martin Scharlemann
Lecture notes on generalized Heegaard splittings
Toshio Saito, Martin Scharlemann, Jennifer Schultens
How a strongly irreducible Heegaard splitting intersects a handlebody
Matt Jones, Martin Scharlemann
Uniqueness of bridge surfaces for 2-bridge knots
Martin Scharlemann, Maggy Tomova
Thin position in the theory of classical knots
Martin Scharlemann
Proposed Property 2R counterexamples classified
Martin Scharlemann
Surfaces, submanifolds, and aligned Fox reimbedding in non-Haken 3-manifolds
Martin Scharlemann, Abigail Thompson
Fibered knots and Property 2R, II
Robert E. Gompf, Martin Scharlemann
3-manifolds with planar presentations and the width of satellite knots
Martin Scharlemann, Jennifer Schultens
Annuli in generalized Heegaard splittings and degeneration of tunnel number
Martin Scharlemann, Jennifer Schultens
The Goda-Teragaito conjecture: an overview
Martin Scharlemann
Generalized Property R and the Schoenflies Conjecture
Martin Scharlemann
The structure of a solvmanifold's Heegaard splittings
Daryl Cooper, Martin Scharlemann
Multiple genus 2 Heegaard splittings: a missed case
John Berge, Martin Scharlemann
Surgery on a knot in (Surface x I)
Martin Scharlemann, Abigail Thompson
Comparing Heegaard and JSJ structures of orientable 3-manifolds
Martin Scharlemann, Jennifer Schultens
Fibered knots and Property 2R
Martin Scharlemann, Abigail Thompson
Generating the genus g+1 Goeritz group of a genus g handlebody
Martin Scharlemann
A proof of the Gordon Conjecture
Ruifeng Qiu, Martin Scharlemann
There are no unexpected tunnel number one knots of genus one
Martin Scharlemann
Conway products and links with multiple bridge surfaces
Martin Scharlemann, Maggy Tomova
Powell moves and the Goeritz group
Michael Freedman, Martin Scharlemann
Proximity in the curve complex: boundary reduction and bicompressible surfaces
Martin Scharlemann
Refilling meridians in a genus 2 handlebody complement
Martin Scharlemann
Levelling an unknotting tunnel
Hiroshi Goda, Martin Scharlemann, Abigail Thompson
The tunnel number of the sum of n knots is at least n
Martin Scharlemann, Jennifer Schultens
On the additivity of knot width
Martin Scharlemann, Abigail Thompson
Automorphisms of the 3-sphere that preserve a genus two Heegaard splitting
Martin Scharlemann
Thinning genus two Heegaard spines in the 3-sphere
Martin Scharlemann, Abigail Thompson
Berge's distance 3 pairs of genus 2 Heegaard splittings
Martin Scharlemann
Alternate Heegaard genus bounds distance
Martin Scharlemann, Maggy Tomova
Fibered knots and potential counterexamples to the Property 2R and Slice-Ribbon Conjectures
Robert E. Gompf, Martin Scharlemann, Abigail Thompson
Genus two Heegaard splittings of orientable three-manifolds
J. Hyam Rubinstein, Martin Scharlemann
Dehn's Lemma for Immersed Loops
Michael Freedman, Martin Scharlemann