Craig Hodgson

Non-geometric Veering Triangulations

Craig D Hodgson, Ahmad Issa, Henry Segerman

Journal article  |  2016  |  EXPERIMENTAL MATHEMATICS

Recently, Ian Agol introduced a class of "veering" ideal triangulations for mapping tori of pseudo-Anosov homeomorphisms of surfac..

The 3D-index and normal surfaces

S Garoufalidis, CD Hodgson, NR Hoffman, JH Rubinstein

Journal article  |  2016  |  Illinois Journal of Mathematics

Dimofte, Gaiotto and Gukov introduced a powerful invariant, the 3D-index, associated to a suitable ideal triangulation of a 3-mani..

1-efficient triangulations and the index of a cusped hyperbolic 3-manifold

Stavros Garoufalidis, Craig D Hodgson, J Hyam Rubinstein, Henry Segerman

Journal article  |  2015  |  GEOMETRY & TOPOLOGY

In this paper we will promote the 3D index of an ideal triangulation T of an oriented cusped 3–manifold M (a collection of q –seri..

Triangulations of 3–Manifolds with essential edges

Craig Hodgson, J Hyam Rubinstein, Henry Segerman, Stephan Tillmann

Journal article  |  2015  |  Annales de la faculté des sciences de Toulouse Mathématiques

On the Number of Hyperbolic 3-Manifolds of a Given Volume

Craig Hodgson, Hidetoshi Masai

Conference Proceedings  |  2013  |  GEOMETRY AND TOPOLOGY DOWN UNDER

The work of Jorgensen and Thurston shows that there is a finite number N(v) of orientable hyperbolic 3-manifolds with any given vo..

Projective deformations of hyperbolic Coxeter 3-orbifolds

Suhyoung Choi, Craig D Hodgson, Gye-Seon Lee

Journal article  |  2012  |  GEOMETRIAE DEDICATA

By using Klein's model for hyperbolic geometry, hyperbolic structures on orbifolds or manifolds provide examples of real projectiv..

Triangulations of hyperbolic 3-manifolds admitting strict angle structures

Craig D Hodgson, J Hyam Rubinstein, Henry Segerman

Journal article  |  2012  |  JOURNAL OF TOPOLOGY

It is conjectured that every cusped hyperbolic 3-manifold has a decomposition into positive volume ideal hyperbolic tetrahedra (a ..

Veering triangulations admit strict angle structures

Craig D Hodgson, J Hyam Rubinstein, Henry Segerman, Stephan Tillmann

Journal article  |  2011  |  GEOMETRY & TOPOLOGY

Agol recently introduced the concept of a veering taut triangulation of a 3-manifold, which is a taut ideal triangulation with som..

Hyperbolic Graphs of Small Complexity

Damian Heard, Craig Hodgson, Bruno Martelli, Carlo Petronio

Journal article  |  2010  |  EXPERIMENTAL MATHEMATICS

In this paper we enumerate and classify the “simplest” pairs (M, G), where M is a closed orientable 3-manifold and G is a trivalen..

The shape of hyperbolic Dehn surgery space

Craig D Hodgson, Steven P Kerckhoff

Journal article  |  2008  |  GEOMETRY & TOPOLOGY

In this paper we develop a new theory of infinitesimal harmonic deformations for compact hyperbolic 3-manifolds with "tubular boun..