Deformations of complex structures and the coupled Kähler-Yang-Mills equations

Abstract

In this work we define a deformation theory for the Coupled Kähler-Yang-Mills equations in arXiv:1102.0991, generalizing work of Székelyhidi on constant scalar curvature Kähler metrics. We use the theory to find new solutions of the equations via deformation of the complex structure of a polarised manifold endowed with a holomorphic vector bundle. We also study the deformations of the recent examples of Keller and Tønnesen-Friedman.

19 pages

References in corpus (1)

• Kahler geometry on toric manifolds, and some other manifolds with large symmetry

Cited by in corpus (3)

• Infinitesimal moduli for the Strominger system and Killing spinors in generalized geometry
• Kähler-Yang-Mills Equations and Vortices
• Gravitating vortices with positive curvature