Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1895492 | Journal of Geometry and Physics | 2016 | 20 Pages |
Abstract
A new framework for noncommutative complex geometry on quantum homogeneous spaces is introduced. The main ingredients used are covariant differential calculi and Takeuchi's categorical equivalence for quantum homogeneous spaces. A number of basic results are established, producing a simple set of necessary and sufficient conditions for noncommutative complex structures to exist. Throughout, the framework is applied to the quantum projective spaces endowed with the Heckenberger-Kolb calculus.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Réamonn à Buachalla,