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arXiv:1503.05173 [math.DG]AbstractReferencesReviewsResources

The Ding functional, Berndtsson convexity and moment maps

Simon Donaldson

Published 2015-03-17Version 1

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.

Categories: math.DG
Subjects: 53C55
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