3 citations · 6 across the 3 of their papers we have counts for
7 papers
Lecture notes on generalized Heegaard splittings
Toshio Saito, Martin Scharlemann, Jennifer Schultens
These notes grew out of a lecture series given at RIMS in the summer of 2001. The lecture series was aimed at a broad audience that included many graduate students. Its purpose lay…
3-manifolds with planar presentations and the width of satellite knots
Martin Scharlemann, Jennifer Schultens
We consider compact 3-manifolds M having a submersion h to R in which each generic point inverse is a planar surface. The standard height function on a submanifold of the 3-sphere…
Genus 2 closed hyperbolic 3-manifolds of arbitrarily large volume
Jennifer Schultens
We describe a class of genus 2 closed hyperbolic 3-manifolds of arbitrarily large volume.
Additivity of Bridge Number of Knots
Jennifer Schultens
We provide a new proof of the following results of H. Schubert: If K is a satellite knot with companion J and pattern L that lies in a solid torus T in which it has index k, then t…
Heegaard genus formula for Haken manifolds
Jennifer Schultens
Given a 3-manifold M containing an incompressible surface Q, we obtain an inequality relating the Heegaard genus of M and the Heegaard genera of the components of M - Q. Here the s…
The tunnel number of the sum of n knots is at least n
Martin Scharlemann, Jennifer Schultens
We prove that the tunnel number of the sum of n knots is at least n.