43 citations · 113 across the 16 of their papers we have counts for
16 papers
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…
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…
Random Walks on Graphs and Approximation of L2-Invariants
Zenas Wong, Andrew J. Kricker
Right multiplication operators , $w \in \C[G]$, are interpreted as random-walk operators on labelled graphs that are analogous to Cayley graphs. Applyin…
Differential Operators and the Wheels Power Series
Andrew Kricker
An earlier work of the author's showed that it was possible to adapt the Alekseev-Meinrenken Chern-Weil proof of the Duflo isomorphism to obtain a completely combinatorial proof of…
Surgery presentations of coloured knots and of their covering links
Andrew Kricker, Daniel Moskovich
We consider knots equipped with a representation of their knot groups onto a dihedral group D_{2n} (where n is odd). To each such knot there corresponds a closed 3-manifold, the (i…