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arXiv · 1301.4480

Deformations of complex structures and the coupled K\"ahler-Yang-Mills equations

Mario Garcia-Fernandez·Carl Tipler
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Abstract

In this work we define a deformation theory for the Coupled K\"ahler-Yang-Mills equations in arXiv:1102.0991, generalizing work of Sz\'ekelyhidi on constant scalar curvature K\"ahler 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 T{\o}nnesen-Friedman.

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Mario Garcia-Fernandez, Carl Tipler. 2013-01-18. Deformations of complex structures and the coupled K\"ahler-Yang-Mills equations. https://doi.org/10.1112/jlms%2Fjdt084

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