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arXiv · 1401.1459

Noncommutative Kahler Geometry of the Standard Podles Sphere

Réamonn Ó Buachalla
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Abstract

Building on the now established presentation of the standard Podles sphere as an example of a noncommutative complex structure, we investigate how its classical Kahler geometry behaves under $q$-deformation. Discussed are noncommutative versions of Hodge decomposition, Lefschetz decomposition, the Kahler identities, and the refinement of de Rham cohomology by Dolbeault cohomology

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Réamonn Ó Buachalla. 2014-01-07. Noncommutative Kahler Geometry of the Standard Podles Sphere. https://arxiv.org/abs/1401.1459

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