Coupled equations for Kähler metrics and Yang-Mills connections

DOI10.2140/gt.2013.17.2731zbMath1275.32019arXiv1102.0991OpenAlexW3100128254MaRDI QIDQ372685

Luis Álvarez-Cónsul, Oscar García-Prada, Mario García-Fernández

Publication date: 21 October 2013

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.0991

zbMATH Keywords

coupled Kähler-Yang-Mills equationgeneralized Futaki invariantgeneralized Mabuchi energyHermitian-Yang-Mills connection

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07)

Related Items

Gravitating vortices and the Einstein-Bogomol'nyi equations, Twisted and singular gravitating vortices, Nontrivial examples of coupled equations for Kähler metrics and Yang-Mills connections, Quillen metrics and perturbed equations, Vortex-type equations on compact Riemann surfaces, Coupled Kähler-Einstein and Hermitian-Yang-Mills equations, Obstructions to the existence of solutions of the self-dual Einstein-Maxwell-Higgs equations on a compact surface, Representability of Chern-Weil forms, Geometric quantization of coupled Kähler-Einstein metrics, Gravitating vortices, cosmic strings, and the Kähler-Yang-Mills equations, Gravitating vortices with positive curvature, Deformation of complex structures and the coupled Kähler-Yang-Mills equations, Deformed Hermitian Yang–Mills connections, extended gauge group and scalar curvature

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