Deformation of complex structures and the coupled Kahler-Yang-Mills equations

In this work, we define a deformation theory for the coupled Kahler-Yang-Mills equations, generalizing work of Sz,kelyhidi on constant scalar curvature Kahler metrics. We use the theory to find new solutions of the equations via deformation of the complex structure of a polarized manifold endowed with a holomorphic vector bundle. We also study the deformations of the recent examples of Keller and To nnesen-Friedman.


Published in:
Journal Of The London Mathematical Society-Second Series, 89, 779-796
Year:
2014
Publisher:
Oxford, Oxford University Press
ISSN:
0024-6107
Laboratories:




 Record created 2014-08-29, last modified 2018-09-13


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