51 citations · 597 across the 45 of their papers we have counts for
6 papers · 1 filter
The spectral distance on the Moyal plane
Eric Cagnache, Francesco D'Andrea, Pierre Martinetti +1
We study the noncommutative geometry of the Moyal plane from a metric point of view. Starting from a non compact spectral triple based on the Moyal deformation A of the algebra of…
Geometry of the quantum projective plane
Francesco D'Andrea, Giovanni Landi
We review some of the geometry of the quantum projective plane with emphasis on the construction of a differential calculus and of the Dirac operator (of a spin^c-structure). We al…
A View on Optimal Transport from Noncommutative Geometry
Francesco D'Andrea, Pierre Martinetti
We discuss the relation between the Wasserstein distance of order 1 between probability distributions on a metric space, arising in the study of Monge-Kantorovich transport problem…
Bounded and unbounded Fredholm modules for quantum projective spaces
Francesco D'Andrea, Giovanni Landi
We construct explicit generators of the K-theory and K-homology of the coordinate algebra of `functions' on quantum projective spaces. We also sketch a construction of unbounded Fr…
Anti-selfdual Connections on the Quantum Projective Plane: Monopoles
Francesco D'Andrea, Giovanni Landi
We present several results on the geometry of the quantum projective plane CP2q. They include: explicit generators for the K-theory and the K-homology; a real calculus with a Hodge…
Dirac Operators on Quantum Projective Spaces
Francesco D'Andrea, Ludwik Dabrowski
We construct a family of self-adjoint operators D_N which have compact resolvent and bounded commutators with the coordinate algebra of the quantum projective space CP_q(l), for an…