5 citations · 8 across the 4 of their papers we have counts for
7 papers
Verified Length Spectrum and Margulis number for Hyperbolic 3-Manifolds
Matthias Goerner, Robert C. Haraway, Neil R. Hoffman +1
We present a new algorithm to compute a stream for the length spectrum of an oriented, finite-volume hyperbolic 3-manifold . The advantage over the existing algorithm by Hodgson…
Hyperbolic 3-manifolds of low cusp volume
David Gabai, Robert Haraway, Robert Meyerhoff +2
We classify the complete hyperbolic 3-manifolds admitting a maximal cusp of volume at most 2.62. We use this to show that the figure-8 knot complement is the unique 1-cusped hyperb…
On Moduli Spaces of Convex Projective Structures on Surfaces: Outitude and Cell-Decomposition in Fock-Goncharov Coordinates
Robert Haraway, Robert Löwe, Dominic Tate +1
Generalising a seminal result of Epstein and Penner for cusped hyperbolic manifolds, Cooper and Long showed that each decorated strictly convex projective cusped manifold has a can…
On the complexity of cusped non-hyperbolicity
Robert Haraway, Neil R Hoffman
We show that the problem of showing that a cusped 3-manifold M is not hyperbolic is in NP, assuming -RECOGNITION is in coNP. To this end, we show that IRREDUCIBLE TOROIDAL REC…
Tessellating the moduli space of strictly convex projective structures on the once-punctured torus
Robert C. Haraway, Stephan Tillmann
We show that associating the Euclidean cell decomposition due to Cooper and Long to each point of the moduli space of framed strictly convex real projective structures of finite vo…
Practical bounds for a Dehn parental test
Robert C. Haraway
In their article "The shape of hyperbolic Dehn surgery space," Hodgson and Kerckhoff proved a powerful theorem, half of which they used to make Thurston's Dehn surgery theorem effe…
Determining hyperbolicity of compact orientable 3-manifolds with torus boundary
Robert C. Haraway
Thurston's hyperbolization theorem for Haken manifolds and normal surface theory yield an algorithm to determine whether or not a compact orientable 3-manifold with nonempty bounda…