3 papers
math.GT2025
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…
math.GT2025
Circle-valued angle structures and obstruction theory
Craig D. Hodgson, Andrew J. Kricker, RafaÅ 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…
math.GT2025
On the asymptotics of the meromorphic 3D-index
Craig D. Hodgson, Andrew J. Kricker, RafaÅ 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…