5 papers
Spectrum of the -Laplace operator on zero forms for the quantum quadric
Fredy Díaz García
We study the Laplacian operator associated to a Kähler structure for the Heckenberger--Kolb differential calculus of the quantum…
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…
A spectral triple for noncommutative compact surfaces
Fredy Díaz García, Elmar Wagner
A Dirac operator is presented that will yield a 1+ summable regular even spectral triple for all noncommutative compact surfaces defined as subalgebras of the Toeplitz algebra. Con…
Dirac operator on a noncommutative Toeplitz torus
Fredy Díaz García, Elmar Wagner
We construct a 1+ summable regular even spectral triple for a noncommutative torus defined by a C*-subalgebra of the Toeplitz algebra.