Coupled equations for Kahler metrics and Yang-Mills connections

We study equations on a principal bundle over a compact complex manifold coupling a connection on the bundle with a Kahler structure on the base. These equations generalize the conditions of constant scalar curvature for a Kahler metric and Hermite-Yang-Mills for a connection. We provide a moment map interpretation of the equations and study obstructions for the existence of solutions, generalizing the Futaki invariant, the Mabuchi K-energy and geodesic stability. We finish by giving some examples of solutions.


Published in:
Geometry & Topology, 17, 5, 2731-2812
Year:
2013
Publisher:
Coventry, Geometry & Topology Publications
ISSN:
1465-3060
Laboratories:




 Record created 2014-01-09, last modified 2018-09-13


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