4 papers · 1 filter
Zesting and the relative complexity of Reshetikhin-Turaev invariants
Colleen Delaney, Calvin McPhail-Snyder
We show that the computational complexity of Reshetikhin-Turaev invariants of simply colored links is preserved when their underlying ribbon fusion categories are related by the ze…
A quantization of the Chern-Simons invariant of tangle exteriors
Calvin McPhail-Snyder
We define a sequence of invariants of tangles with flat connections (i.e. hyperbolic structures) on their complements. These can be interpre…
The holonomy braiding for in terms of geometric quantum dilogarithms
Calvin McPhail-Snyder, Nicolai Reshetikhin
We derive an explicit formula for the holonomy -matrix of quantum at a root of unity. We show it factorizes into a product of four quantum dilogarithms and sat…
-holonomy invariants of links
Calvin McPhail-Snyder
Quantum invariants like the colored Jones polynomial are algebraic in nature but are conjectured to detect important information about the geometry of links. In this thesis we expl…