Notes on a New Construction of Hyperkahler Metrics

DOI10.1007/978-3-319-06514-4_8zbMath1323.32019arXiv1308.2198OpenAlexW1874732469MaRDI QIDQ5265231

Andrew Neitzke

Publication date: 23 July 2015

Published in: Lecture Notes of the Unione Matematica Italiana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.2198

zbMATH Keywords

wall-crossing formulahyper-Kähler metriccomplex integrable systemOuguri-Vafa metric

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26)

Related Items (15)

Perspectives on the asymptotic geometry of the Hitchin moduli space ⋮ Quaternionic Kähler metrics associated to special Kähler manifolds with mutually local variations of BPS structures ⋮ A hyperkähler geometry associated to the BPS structure of the resolved conifold ⋮ Exponential decay for the asymptotic geometry of the Hitchin metric ⋮ Twisted hyperkähler symmetries and hyperholomorphic line bundles ⋮ Asymptotic geometry of the moduli space of parabolic SL(2,C)$\operatorname{SL}(2,\mathbb {C})$‐Higgs bundles ⋮ Quantum curves, resurgence and exact WKB ⋮ Mathematical structures of non-perturbative topological string theory: from GW to DT invariants ⋮ Hyperkähler metric and GMN ansatz on focus-focus fibrations ⋮ Asymptotics of Hitchin's metric on the Hitchin section ⋮ Asymptotic geometry of the Hitchin metric ⋮ Singular geometry and Higgs bundles in string theory ⋮ Moduli spaces of Higgs bundles - old and new ⋮ Isolated singularities of affine special Kähler metrics in two dimensions ⋮ Affine special Kähler structures in real dimension two

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