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math.QA2011
Noncommutative Complex Structures on Quantum Homogeneous Spaces
Réamonn Ó Buachalla
A new framework for noncommutative complex geometry on quantum homogeneous spaces is introduced. The main ingredients used are covariant differential calculi and Takeuchi's categor…
math.OA2011
MSc Thesis: Presentation of Certain New Trends in Noncommutative Geometry
Réamonn Ó Buachalla
MSc thesis of the author offering an introduction to the operator algebraic approach to noncommutative geometry, with a treatment of some more advanced elements such as the noncomm…
math.QA2011★ 19 cited
Quantum Bundle Description of the Quantum Projective Spaces
Réamonn Ó Buachalla
We realise Heckenberger and Kolb's canonical calculus on quantum projective (n-1)-space as the restriction of a distinguished quotient of the standard bicovariant calculus for Cq[S…