Generalized Kahler and hyper-Kahler quotients

Details Generalized Kahler and hyper-Kahler quotients Generalized Kahler and hyper-Kahler quotients

2007-02-05

arxiv.org/abs/math/0702104v1

Poisson geometry in mathematics and physics, 61--77, Contemp. Math., 450, Amer. Math. Soc., Providence, RI, 2008

Mathematics

Differential Geometry

16 pages, 1 figure. For the proceedings of the Poisson 2006 conference

Scientific paper

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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