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Notes on a new construction of hyperkahler metrics

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arxiv 1308.2198 v1 pith:YLKIIBC5 submitted 2013-08-09 math.DG hep-thmath.AG

Andrew Neitzke This is my paper · ORCID
classification math.DGhep-thmath.AG
keywords constructionhyperkahlermetricsauthorcollectiondavideformulagaiotto
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We review a construction of hyperkahler metrics proposed in joint work of Davide Gaiotto, Greg Moore and the author. A key ingredient in this construction is a collection of integer "DT invariants" obeying the wall-crossing formula of Kontsevich-Soibelman.

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  1. Hyper-K\"ahler manifolds from Riemann-Hilbert problems I: Ooguri-Vafa-like model geometries

    math.DG 2025-01 conditional novelty 6.0 of 10

    The authors rigorously build local hyper-Kähler model geometries, generalizing Ooguri-Vafa and multi-Ooguri-Vafa examples, from the Gaiotto-Moore-Neitzke Riemann-Hilbert formalism.

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