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Notes on a new construction of hyperkahler metrics

2013/08/09 by Andrew Neitzke, Neitzke, Andrew
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Geometry and complex manifolds #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons #hep-th #math.AG #math.DG

paper · pdf · doi:10.48550/arxiv.1308.2198

22 pages

arxiv created 2013/08/09 · openalex publication_date 2013/08/09 · arxiv updated 2013/08/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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