2 papers
math.GT2026
Skein (3+1)-TQFTs from Non-Semisimple Ribbon Categories
Francesco Costantino, Nathan Geer, Benjamin Haïoun +1
We define a (3+1)-TQFT associated with possibly non-semisimple finite unimodular ribbon tensor categories using skein theory. This gives an explicit realization of a TQFT predicted…
math.GT2025
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…