Rigid HYM connections on tautological bundles over ALE crepant resolutions in dimension three

DOI10.3842/SIGMA.2016.017zbMath1335.53031arXiv1207.6938OpenAlexW2151660292MaRDI QIDQ254659

Thomas Walpuski, Anda Degeratu

Publication date: 8 March 2016

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.6938

zbMATH Keywords

crepant resolutionsHermitian-Yang-Mills connections

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07)

Related Items

D3-brane supergravity solutions from Ricci-flat metrics on canonical bundles of Kähler-Einstein surfaces ⋮ The Kähler quotient resolution of \({{\mathbb{C}}^3/ \Gamma}\) singularities, the mckay correspondence and \(D = 3\) \(\mathcal{N} = 2\) Chern-Simons gauge theories ⋮ On 't Hooft defects, monopole bubbling and supersymmetric quantum mechanics ⋮ Resolution à la Kronheimer of \(\mathbb{C}^3/\Gamma\) singularities and the Monge-Ampère equation for Ricci-flat Kähler metrics in view of D3-brane solutions of supergravity ⋮ Crepant resolutions of \(\mathbb{C}^3 \slash \mathbb{Z}_4\) and the generalized Kronheimer construction (in view of the gauge/gravity correspondence)

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