44 citations · 90 across the 17 of their papers we have counts for
13 papers · 1 filter
Some groups with planar boundaries
Sang-hyun Kim, Genevieve S. Walsh
In this expository note, we illustrate phenomena and conjectures about boundaries of hyperbolic groups by considering the special cases of certain amalgams of hyperbolic groups. Wh…
Right-angled Coxeter groups with non-planar boundary
Pallavi Dani, Matthew Haulmark, Genevieve Walsh
We investigate the planarity of the boundaries of right-angled Coxeter groups. We show that non-planarity of the defining graph does not necessarily imply non-planarity of every bo…
Boundaries of Kleinian groups
Peter Haïssinsky, Luisa Paoluzzi, Genevieve Walsh
We review the theory of splittings of hyperbolic groups, as determined by the topology of the boundary. We give explicit examples of certain phenomena and then use this to describe…
Knot complements, hidden symmetries and reflection orbifolds
Michel Boileau, Steven Boyer, Radu Cebanu +1
In this article we examine the conjecture of Neumann and Reid that the only hyperbolic knots in the -sphere which admit hidden symmetries are the figure-eight knot and the two d…
The big Dehn surgery graph and the link of S^3
Neil R. Hoffman, Genevieve S. Walsh
In a talk at the Cornell Topology Festival in 2005, W. Thurston discussed a graph which we call "The Big Dehn Surgery Graph", B. Here we explore this graph, particularly the link o…
The bumping set and the characteristic submanifold
Genevieve S. Walsh
We show here that the Nielsen core of the bumping set of the domain of discontinuity of a Kleinian group is the boundary of the characteristic submanifold of the associated 3-m…