55 citations · 210 across the 31 of their papers we have counts for
37 papers
Colored Khovanov homology theories at prime roots of unity
You Qi, Louis-Hadrien Robert, Joshua Sussan +1
We equip Khovanov's colored -homology groups with a degree-2 derivation. Over a field of characteristic , the derivation specializes to a -nilpotent diffe…
Infinitesimal sl(2)-symmetries on the equivariant skein lasagna module
You Qi, Louis-Hadrien Robert, Joshua Sussan +2
We construct an sl(2)-action on the equivariant skein lasagna module.
Robust Universal Braiding with Non-semisimple Ising Anyons
Filippo Iulianelli, Sung Kim, Joshua Sussan +1
Non-semisimple extensions of the Ising anyon model developed in our previous work enable universal topological quantum computation via braiding alone, overcoming the Clifford-only…
Remarks on some infinitesimal symmetries of Khovanov--Rozansky homologies in finite characteristic
You Qi, Louis-Hadrien Robert, Joshua Sussan +1
We give a new proof of a theorem due to Shumakovitch and Wang on base point independence of Khovanov--Rozansky homology in characteristic . Some further symmetries of $\mathfrak…
Universal quantum computation using Ising anyons from a non-semisimple Topological Quantum Field Theory
Filippo Iulianelli, Sung Kim, Joshua Sussan +1
We propose a framework for topological quantum computation using newly discovered non-semisimple analogs of topological quantum field theories in 2+1 dimensions. These enhanced the…
Density and unitarity of the Burau representation from a non-semisimple TQFT
Nathan Geer, Aaron D. Lauda, Bertrand Patureau-Mirand +1
We study the density of the Burau representation from the perspective of a non-semisimple TQFT at a fourth root of unity. This gives a TQFT construction of Squier's Hermitian form…