42 citations · 63 across the 5 of their papers we have counts for
5 papers
Distinguished waves and slopes in genus two
John Berge
If R is a nonseparating simple closed curve on the boundary of a genus two handlebody H and H[R] has incompressible boundary, then there exists a unique arc omega in bdry(H), meeti…
Some knots with surgeries yielding lens spaces
John Berge
This is a facsimile of the circa 1990 unpublished manuscript with the same title. All the original text, figures and tables are included; although text has been reset in \TeX, the…
A closed orientable 3-manifold with distinct distance three genus two Heegaard splittings
John Berge
We describe an example of a closed orientable 3-manifold with distinct distance three genus two Heegaard splittings. This demonstrates that the constructions of alternate genus two…
A classification of pairs of disjoint nonparallel primitives in the boundary of a genus two handlebody
John Berge
Embeddings of pairs of disjoint nonparallel primitive simple closed curves in the boundary of a genus two handlebody are classified. Briefly, two disjoint primitives either lie on…
Multiple genus 2 Heegaard splittings: a missed case
John Berge, Martin Scharlemann
A gap in a paper of Rubinstein-Scharlemann is explored: new examples are found of closed orientable 3-manifolds with possibly multiple genus 2 Heegaard splittings. Properties commo…