Topological invariants from quantum group U_ξ\mathfraksl(2|1) at roots of unity

2016/07/13 by Ha, Ngoc Phu
#17B37 #57M27 #FOS: Mathematics #Geometric Topology (math.GT) #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.1607.03728

Abstract

In this article we construct link invariants and 3-manifold invariants from the quantum group associated with Lie superalgebra \mathfraksl(2|1). This construction based on nilpotent irreducible finite dimensional representations of quantum group U_ξ\mathfraksl(2|1) where ξ is a root of unity of odd order. These constructions use the notion of modified trace and relative G-modular category.

Related

• Modified Turaev-Viro Invariants from quantum sl(2|1)
• Relative (pre)-modular categories from special linear Lie superalgebras
• Topological invariants of three-manifolds from U_q(osp(1|2n))
• Quantum invariants of 3-manifolds and links: a review
• Supergroups, q-series and 3-manifolds