Quantum invariants arising from U_h\mathfraksl(2|1) are q-holonomic

2024/03/19 by Jennifer Brown, Brown, Jennifer, Nathan Geer +1
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #FOS: Mathematics #Geometric Topology (math.GT) #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.2403.12882

openalex publication_date 2024/03/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We show that the quantum invariants arising from typical representations of the quantum group U_h\mathfraksl(2|1) are q-holonomic. In particular, this implies the existence of an underlying field theory for which this family of invariants are partition functions.

Related

• The ADO Invariants are a q-Holonomic Family
• Topological invariants from quantum group U_ξ\mathfraksl(2|1) at roots of unity
• Quantum holonomic link invariants derived from stated skein algebras
• Hopf coactions on odd spheres
• U_q(\mathfraksl₂)-symmetries of the quantum disc: a complete list