3 citations · 3 across the 2 of their papers we have counts for
3 papers
math.QA2019
A Dolbeault-Dirac Spectral Triple for Quantum Projective Space
Biswarup Das, Réamonn Ó Buachalla, Petr Somberg
The notion of a Kähler structure for a differential calculus was recently introduced by the second author as a framework in which to study the noncommutative geometry of the quantu…
math.QA2018★ 3 cited
A Kodaira Vanishing Theorem for Noncommutative Kahler Structures
Réamonn Ó Buachalla, Jan Stovicek, Adam-Christiaan van Roosmalen
Using the framework of noncommutative Kahler structures, we generalise to the noncommutative setting the celebrated vanishing theorem of Kodaira for positive line bundles. The resu…
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…