35 citations · 98 across the 17 of their papers we have counts for
19 papers
The 3D index and Dehn filling
Daniele Celoria, Craig D. Hodgson, J. Hyam Rubinstein
We provide a rigorous proof of the Gang-Yonekura formula describing the transformation of the 3D index under Dehn filling a cusp in an orientable 3-manifold. The 3D index, original…
Circle-valued angle structures and obstruction theory
Craig D. Hodgson, Andrew J. Kricker, Rafał M. Siejakowski
We study spaces of circle-valued angle structures, introduced by Feng Luo, on ideal triangulations of 3-manifolds. We prove that the connected components of these spaces are enumer…
On the asymptotics of the meromorphic 3D-index
Craig D. Hodgson, Andrew J. Kricker, Rafał M. Siejakowski
In their recent work, Garoufalidis and Kashaev extended the 3D-index of an ideally triangulated 3-manifold with toroidal boundary to a well-defined topological invariant which take…
The 3D-index and normal surfaces
Stavros Garoufalidis, Craig Hodgson, Neil Hoffman +1
Dimofte, Gaiotto and Gukov introduced a powerful invariant, the 3D-index, associated to a suitable ideal triangulation of a 3-manifold with torus boundary components. The 3D-index…
Triangulations of 3-manifolds with essential edges
Craig D. Hodgson, J. Hyam Rubinstein, Henry Segerman +1
We define essential and strongly essential triangulations of 3-manifolds, and give four constructions using different tools (Heegaard splittings, hierarchies of Haken 3-manifolds,…
Non-geometric veering triangulations
Craig D. Hodgson, Ahmad Issa, Henry Segerman
Recently, Ian Agol introduced a class of "veering" ideal triangulations for mapping tori of pseudo-Anosov homeomorphisms of surfaces punctured along the singular points. These tria…