English

Quantum invariants arising from $U_h\mathfrak{sl}(2|1)$ are q-holonomic

Quantum Algebra 2026-02-13 v2 Geometric Topology

Abstract

We show that the quantum invariants arising from typical representations of the quantum group Uhsl(21)U_h\mathfrak{sl}(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.

Keywords

Cite

@article{arxiv.2403.12882,
  title  = {Quantum invariants arising from $U_h\mathfrak{sl}(2|1)$ are q-holonomic},
  author = {Jennifer Brown and Nathan Geer},
  journal= {arXiv preprint arXiv:2403.12882},
  year   = {2026}
}

Comments

16 pages, fixed typos and revised introduction. To be published in JKTR