20 citations · 84 across the 15 of their papers we have counts for
16 papers
A deformation theorem for Poincaré duality pairs in dimension 3
Lawrence Reeves, Peter Scott, Gadde A. Swarup
We prove the analogue of Johannson's Deformation Theorem for PD3 pairs.
Comparing decompositions of Poincaré duality pairs
Lawrence Reeves, Peter Scott, Gadde Swarup
Analogues of JSJ decompositions were developed for Poincaré duality pairs in [19]. These decompositions depend only on the group. Our focus will be on describing the edge splitting…
A geometric property of closed geodesics on hyperbolic surfaces
Max Neumann-Coto, Peter Scott
We study closed geodesics on hyperbolic surfaces, and give bounds for their angles of intersection and self-intersection, and for the sides of the polygons that they form, dependin…
The homeomorphism problem for closed 3-manifolds
Peter Scott, Hamish Short
We give a more geometric approach to an algorithm for deciding whether two hyperbolic 3-manifolds are homeomorphic. We also give a more algebraic approach to the homeomorphism prob…
Simplicial energy and simplicial harmonic maps
Joel Hass, Peter Scott
We introduce a combinatorial energy for maps of triangulated surfaces with simplicial metrics and analyze the existence and uniqueness properties of the corresponding harmonic maps…
Splittings and C-complexes
Mahan Mj, Peter Scott, Gadde Swarup
The intersection pattern of the translates of the limit set of a quasi-convex subgroup of a hyperbolic group can be coded in a natural incidence graph, which suggests connections w…