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Quantum Langlands duality of representations of W-algebras

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arxiv 1807.01536 v3 pith:KQBLKYAE submitted 2018-07-04 math.QA hep-thmath.AGmath.RT

Tomoyuki Arakawa , Edward Frenkel This is my paper · ORCID
classification math.QAhep-thmath.AGmath.RT
keywords dualitylanglandsquantumrepresentationsw-algebrascertainessentialgeometric
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We prove duality isomorphisms of certain representations of W-algebras which play an essential role in the quantum geometric Langlands Program and some related results.

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  1. Hypercubic structures behind $\hat{Z}$-invariants

    math.RT 2025-01 conditional novelty 6.0 of 10

    A hypercubic DAG recursion reproduces the bosonic formula for Z-hat invariants of Seifert manifolds and motivates a conjectural abelian categorification via recursive shift systems.

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