Three dimensional topological quantum field theory from $U_q(\mathfrak{gl}(1|1))$ and $U(1|1)$ Chern--Simons theory

Nathan Geer, Matthew B. Young

We introduce an unrolled quantization $U_q^E(\mathfrak{gl}(1|1))$ of the complex Lie superalgebra $\mathfrak{gl}(1|1)$ and use its categories of weight modules to const…