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Quantum Riemann-Hilbert problems for the resolved conifold - MaRDI portal

Quantum Riemann-Hilbert problems for the resolved conifold (Q6107809)

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scientific article; zbMATH DE number 7706463
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Quantum Riemann-Hilbert problems for the resolved conifold
scientific article; zbMATH DE number 7706463

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    Quantum Riemann-Hilbert problems for the resolved conifold (English)
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    3 July 2023
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    The author introduces quantum torus algebra and quantum dilogarithm functions to study BPS automorphisms. Then the author, after introducing the multiple sine functions and studying their asymptotic expansions near 0 and \(\infty\), gives a solution to quantum Riemann-Hilbert problem for resolved conifold. This solution may provide a non-perturbative definition for Donaldson-Thomas theory.
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    Riemann-Hilbert problems
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    Donaldson-Thomas invariants
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    multiple sine functions
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