3 papers
math.GT2026
On 3d Quantum Trace Maps
Qingjing Chen, Andrew Kricker
A 3d quantum trace map is a homomorphism from the skein module of an ideally triangulated 3-manifold to its quantum gluing module that quantizes the classical trace map. There are…
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…