14 citations · 30 across the 6 of their papers we have counts for
6 papers
Stable Andrews-Curtis Conjecture via Fake Surfaces and Zeeman Conjecture
Lucas Fagan, Yang Qiu, Zhenghan Wang
We propose an induction scheme that aims at establishing the stable Andrews-Curtis conjecture in the affirmative. The stable Andrews-Curtis conjecture is equivalent to the conjectu…
Classification of Cellular Fake Surfaces
Lucas Fagan, Yang Qiu, Zhenghan Wang
Generic polyhedra are interesting mathematical objects to study in their own right. In this paper, we initialize a systematic study of two-dimensional generic polyhedra with an eye…
From Torus Bundles to Particle-Hole Equivariantization
Shawn X. Cui, Paul Gustafson, Yang Qiu +1
We continue the program of constructing (pre)modular tensor categories from 3-manifolds first initiated by Cho-Gang-Kim using theory in physics and then mathematically studied…
From Three Dimensional Manifolds to Modular Tensor Categories
Shawn X. Cui, Yang Qiu, Zhenghan Wang
Using M-theory in physics, Cho, Gang, and Kim (JHEP 2020, 115 (2020) ) recently outlined a program that connects two parallel subjects of three dimensional manifolds, namely, geome…
Ground Subspaces of Topological Phases of Matter as Error Correcting Codes
Yang Qiu, Zhenghan Wang
Topological quantum computing is believed to be inherently fault-tolerant. One mathematical justification would be to prove that ground subspaces or ground state manifolds of topol…
Representations of Motion Groups of Links via Dimension Reduction of TQFTs
Yang Qiu, Zhenghan Wang
Motion groups of links in the three sphere are generalizations of the braid groups, which are motion groups of points in the disk . Representations of…