Balanced Metrics and Noncommutative Kähler Geometry

In this paper we show how Einstein metrics are naturally described using the quantization of the algebra of functions C^∞(M) on a Kähler manifold M. In this setup one interprets M as the phase space itself, equipped with the Poisson brackets inherited from the Kähler 2-form. We compare the geometric...

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Bibliographic Details
Main Author: Sergio Lukic
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2010-08-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2010.069