3 papers
cond-mat.str-el2023
A lattice model for condensation in Levin-Wen systems
Jessica Christian, David Green, Peter Huston +1
Levin-Wen string-net models provide a construction of (2+1)D topologically ordered phases of matter with anyonic localized excitations described by the {Drinfeld} center of a unita…
math.CT2022
Unitary braided-enriched monoidal categories
Zachary Dell, Peter Huston, David Penneys
Braided-enriched monoidal categories were introduced in work of Morrison-Penneys, where they were characterized using braided central functors. Recent work of Kong-Yuan-Zhang-Zheng…
math.GT2016
An experimental investigation of Neumann's conjecture
Stephen Gilles, Peter Huston
We use a large census of hyperbolic 3-manifolds to experimentally investigate a conjecture of Neumann regarding the Bloch Group. We present an augmented census including, for feasi…