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arXiv · 1503.05173

The Ding functional, Berndtsson convexity and moment maps

Simon Donaldson
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Abstract

We explain how the formal aspects of the theory of Kahler-Einstein metrics can be developed in the framework of moment maps. The central result we use is the Berndtsson convexity theorem, which is interpreted as defining a metric on the space of complex structures. We discuss some applications of these ideas to the Kahler-Ricci flow.

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Simon Donaldson. 2015-03-17. The Ding functional, Berndtsson convexity and moment maps. https://arxiv.org/abs/1503.05173

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