1 citations · 3 across the 3 of their papers we have counts for
5 papers
On quotients of congruence subgroups of braid groups
Jessica Appel, Wade Bloomquist, Katie Gravel +1
The integral Burau representation provides a map from the braid group into a group of integral matrices. This allows for a definition of congruence subgroups of the braid group as…
The Chebyshev-Frobenius homomorphism for stated skein modules of 3-manifolds
Wade Bloomquist, Thang T. Q. Lê
We study the stated skein modules of marked 3-manifolds. We generalize the splitting homomorphism for stated skein algebras of surfaces to a splitting homomorphism for stated skein…
On Topological Quantum Computing With Mapping Class Group Representations
Wade Bloomquist, Zhenghan Wang
We propose an encoding for topological quantum computation utilizing quantum representations of mapping class groups. Leakage into a non-computational subspace seems to be unavoida…
Asymptotic Faithfulness of Quantum Mapping Class Group Representations
Wade Bloomquist
We prove asymptotic faithfulness for the quantum mapping class group representation. This provides the first example of asymptotic faithfulness lying outside of th…
Admissibility and the Spider
Wade Bloomquist, Andres Mejia
A tensor category is multiplicity-free if for any objects we have that is either or dimensional. It is known that $Re…