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Quantum Mirror Curves for ${\mathbb C}^3$ and the Resolved Confiold

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arxiv 1207.0598 v1 pith:FDOLJCJ7 submitted 2012-07-03 math.AG math-phmath.MP

Jian Zhou This is my paper · ORCID
classification math.AGmath-phmath.MP
keywords curvemirrorframedmathbbresolvedcasesconfioldconifold
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abstract

We establish a conjecture of Gukov and Su{\l}kowski in the following three cases: Lambert curve for Hurwitz numbers, framed mirror curve of ${\mathbb C}^3$, and the framed mirror curve of the resolved conifold.

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  1. Quantum Curves in the Context of Symplectic Duality

    math-ph 2025-04 conditional novelty 6.0 of 10

    Quantum spectral curve operators for arbitrary base points can be derived by applying x-y and symplectic duality transformations to simpler spectral curves.

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