Quantum invariants arising from Uh𝔰𝔩(2|1) are q-holonomic

We show that the quantum invariants arising from typical representations of the quantum group [Formula: see text] are [Formula: see text]-holonomic. In particular, this implies the existence of an underlying field theory for which this family of invariants are partition functions.

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Publication Details

Journal
Journal of Knot Theory and Its Ramifications
Published
2026-02-27
DOI
https://doi.org/10.1142/s0218216526500203
Primary Topic
Algebraic structures and combinatorial models
Type
article
Field-Weighted Citation Impact
0.00
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article

Quantum invariants arising from Uh𝔰𝔩(2|1) are q-holonomic

Nathan Geer, Jennifer Brown
Journal of Knot Theory and Its Ramifications
Algebraic structures and combinatorial models
article

Quantum invariants arising from Uh𝔰𝔩(2|1) are q-holonomic

Nathan Geer, Jennifer Brown
article en

Abstract

We show that the quantum invariants arising from typical representations of the quantum group [Formula: see text] are [Formula: see text]-holonomic. In particular, this implies the existence of an underlying field theory for which this family of invariants are partition functions.

Journal of Knot Theory and Its Ramifications
Utah State University (US), University of Edinburgh (GB)
Reduced inequalities
Openalex Percentile: Top 37%
Algebraic structures and combinatorial models
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Quantum invariants arising from Uh𝔰𝔩(2|1) are q-holonomic — Nathan Geer, Jennifer Brown · Journal of Knot Theory and Its Ramifications (2026) | TGRS Research Map | TGRS