13 citations · 31 across the 7 of their papers we have counts for
4 papers · 1 filter
Cusped hyperbolic 3-manifolds: canonically CAT(0) with CAT(0) spines
Iain R. Aitchison
We prove that every finite-volume hyperbolic 3-manifold M with p > 0 cusps admits a canonical, complete, piecewise Euclidean CAT(0) metric, with a canonical projection to a CAT(0)…
All finitely presentable groups from link complements and Kleinian groups
Iain R. Aitchison
We prove that every finitely presentable group G arises as the fundamental group of an orientable 3-complex obtained from a hyperbolic link complement, by coning each boundary toru…
The `Holiverse': holistic eversion of the 2-sphere in
Iain R. Aitchison
We give a short, simple and conceptual proof, based on spin structures, of sphere eversion: an embedded 2-sphere in can be turned inside out by regular homotopy. Ingredients…
Combinatorial Dehn surgery on cubed and Haken 3-manifolds
Iain R. Aitchison, J. Hyam Rubinstein
A combinatorial condition is obtained for when immersed or embedded incompressible surfaces in compact 3-manifolds with tori boundary components remain incompressible after Dehn su…