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February 28, 2026Journal of Knot Theory and Its Ramifications0 citations

Quantum invariants arising from U h 𝔰𝔩(2|1) are q-holonomic

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JBJennifer BrownNGNathan Geer

Key Points

  • The study aims to demonstrate that quantum invariants from U_h sl(2|1) are q-holonomic.
  • Analysis of typical representations of the quantum group U h (𝔰𝔩(2|1))
  • Mathematical derivation of q-holonic properties
  • Examination of implications for partition functions
  • Quantum invariants are shown to be q-holonomic
  • Existence of an underlying field theory is implied
  • Family of invariants serves as partition functions

Abstract

We show that the quantum invariants arising from typical representations of the quantum group U h (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.

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Cite This Study

Brown et al. (2026) studied this question.

synapsesocial.com/papers/69a288060a974eb0d3c04042https://doi.org/10.1142/s0218216526500203
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