2 citations · 2 across the 4 of their papers we have counts for
4 papers
Curvature of positive relative line modules over the quantum projective spaces
Andrey O. Krutov, Réamonn Ó Buachalla
We show that the curvature of a positive relative line module over quantum projective space is given by -integer deformation of its classical curvature. This generalises a resul…
Principal Pairs of Quantum Homogeneous Spaces
Alessandro Carotenuto, Réamonn Ó Buachalla
We propose a simple but effective framework for producing examples of covariant faithfully flat (generalised) Hopf-Galois extensions from a nested pair of quantum homogeneous space…
A Borel-Weil theorem for the irreducible quantum flag manifolds
Alessandro Carotenuto, Fredy Díaz García, Réamonn Ó Buachalla
We establish a noncommutative generalisation of the Borel-Weil theorem for the Heckenberger-Kolb calculi of the irreducible quantum flag manifolds , generalis…
A Dolbeault-Dirac Spectral Triple for the -Irreducible Quantum Flag Manifold
Fredy Díaz García, Réamonn Ó Buachalla, Elmar Wagner
The quantum version of the Bernstein-Gelfand-Gelfand resolution is used to construct a Dolbeault-Dirac operator on the anti-holomorphic forms of the Heckenberger-Kolb calculus for…