Iain R. Aitchison

most citedThe geometry of oriented cubes

10 citations · 15 across the 4 of their papers we have counts for

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3 papers · 1 filter

math.GT2010★ 2 cited

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)…

math.GT2010

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…

math.GT2010★ 3 cited

The `Holiverse': holistic eversion of the 2-sphere in $R^{3}$

Iain R. Aitchison

We give a short, simple and conceptual proof, based on spin structures, of sphere eversion: an embedded 2-sphere in $R^{3}$ can be turned inside out by regular homotopy. Ingredients…

Cusped hyperbolic 3-manifolds: canonically CAT(0) with CAT(0) spines

All finitely presentable groups from link complements and Kleinian groups

The `Holiverse': holistic eversion of the 2-sphere in R3

The `Holiverse': holistic eversion of the 2-sphere in $R^{3}$