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Generalized Kahler and hyper-Kahler quotients

Henrique Bursztyn·Gil R. Cavalcanti·Marco Gualtieri
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Abstract

We develop a theory of reduction for generalized Kahler and hyper-Kahler structures which uses the generalized Riemannian metric in an essential way, and which is not described with reference solely to a single generalized complex structure. We show that our construction specializes to the usual theory of Kahler and hyper-Kahler reduction, and it gives a way to view usual hyper-Kahler quotients in terms of generalized Kahler reduction.

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Henrique Bursztyn, Gil R. Cavalcanti, Marco Gualtieri. 2007-02-05. Generalized Kahler and hyper-Kahler quotients. https://doi.org/10.1090/conm%2F450

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