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Opers

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arxiv math/0501398 v1 pith:RIVWEYDU submitted 2005-01-23 math.AG

Alexander Beilinson , Vladimir Drinfeld This is my paper · ORCID
classification math.AG
keywords opersarticleelementaryhopeintroductionresultsstudentsuseful
verification ladder T0 review T1 audit T2 compute T3 formal
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This article is an elementary introduction to opers without new results. We hope it can be useful for students.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Noncommutative Wilczynski Invariants, and Modular Differential Equations

    math.AG 2026-03 unverdicted novelty 7.0 of 10

    Constructs universal gauge-covariant Wilczynski currents for noncommutative differential operators on Riemann surfaces that recover classical invariants and become modular forms.

  2. $Q$-operators, $q$-opers, and R-matrices in 5d $\mathcal{N}=1$ gauge theory

    hep-th 2025-07 conditional novelty 7.0 of 10

    In 5d N=1 U(N) gauge theory, codimension-two defects produce Q-operators whose q-difference equations are the Baxter TQ equations of XXZ spin chains built on bi-infinite evaluation modules of quantum affine algebras.

  3. Complex harmonic maps and rank 2 higher Teichm\"uller theory

    math.DG 2025-06 conditional novelty 7.0 of 10

    Complex harmonic maps are used to prove that rank-2 Hitchin components carry a mapping-class-group-invariant pseudo-Kähler structure and a Bers-type simultaneous uniformization.

  4. Tropical WKB asymptotics of NRS coordinates for opers in $SU(2)$, $N_f=4$ theory

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    Tropicalization of exact WKB formulae for NRS coordinates on the four-punctured sphere yields chamberwise agreement with Seiberg-Witten periods of SU(2) Nf=4 in unimodular primitive-symplectic chambers.

  5. Fluid dynamics as intersection problem

    hep-th 2025-12 unverdicted novelty 6.0 of 10

    Fluid dynamics is formulated as an intersection problem on a symplectic manifold associated with spacetime, yielding a geometric derivation of covariant hydrodynamics and extensions to multicomponent and anomalous fluids.

  6. Spectral Networks: Bridging higher-rank Teichm\"uller theory and BPS states

    math-ph 2024-11 unverdicted

    A comprehensive introduction to spectral networks that develops higher-rank Teichmüller theory in parallel with class S gauge theory and BPS spectra.

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