31 citations · 63 across the 4 of their papers we have counts for
7 papers
The Noncommutative Geometry of the Quantum Projective Plane
Francesco D'Andrea, Ludwik Dabrowski, Giovanni Landi
We study the spectral geometry of the quantum projective plane CP^2_q, a deformation of the complex projective plane CP^2, the simplest example of a spin^c manifold which is not sp…
Quantum Groups and Twisted Spectral Triples
Francesco D'Andrea
Through the example of the quantum symplectic 4-sphere, we discuss how the notion of twisted spectral triple fits into the framework of quantum homogeneous spaces.
The Isospectral Dirac Operator on the 4-dimensional Orthogonal Quantum Sphere
Francesco D'Andrea, Ludwik Dabrowski, Giovanni Landi
Equivariance under the action of Uq(so(5)) is used to compute the left regular and (chiral) spinorial representations of the algebra of the orthogonal quantum 4-sphere S^4_q. These…
Local Index Formula on the Equatorial Podles Sphere
Francesco D'Andrea, Ludwik Dabrowski
We discuss spectral properties of the equatorial Podles sphere. As a preparation we also study the `degenerate' (i.e. ) case (related to the quantum disk). We consider two dif…
Spectral geometry of -Minkowski space
Francesco D'Andrea
After recalling Snyder's idea of using vector fields over a smooth manifold as `coordinates on a noncommutative space', we discuss a two dimensional toy-model whose `dual' noncommu…
Action functional for kappa-Minkowski Noncommutative Spacetime
Alessandra Agostini, Giovanni Amelino-Camelia, Michele Arzano +1
We examine some alternative possibilities for an action functional for -Minkowski noncommutative spacetime, with an approach which should be applicable to other spacetimes with…