Noncommutative Kahler Geometry of the Standard Podles Sphere
Quantum Algebra
2014-01-09 v2
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 -deformation. Discussed are noncommutative versions of Hodge decomposition, Lefschetz decomposition, the Kahler identities, and the refinement of de Rham cohomology by Dolbeault cohomology
Keywords
Cite
@article{arxiv.1401.1459,
title = {Noncommutative Kahler Geometry of the Standard Podles Sphere},
author = {Réamonn Ó Buachalla},
journal= {arXiv preprint arXiv:1401.1459},
year = {2014}
}