51 citations · 597 across the 45 of their papers we have counts for
4 papers · 1 filter
Modules over the Noncommutative Torus and Elliptic Curves
Francesco D'Andrea, Gaetano Fiore, Davide Franco
Using the Weil-Brezin-Zak transform of solid state physics, we describe line bundles over elliptic curves in terms of Weyl operators. We then discuss the connection with finitely-g…
Matrix Geometries Emergent from a Point
Francesco D'Andrea, Fedele Lizzi, Pierre Martinetti
We describe a categorical approach to finite noncommutative geometries. Objects in the category are spectral triples, rather than unitary equivalence classes as in other approaches…
Spectral geometry with a cut-off: topological and metric aspects
Francesco D'Andrea, Fedele Lizzi, Pierre Martinetti
Inspired by regularization in quantum field theory, we study topological and metric properties of spaces in which a cut-off is introduced. We work in the framework of noncommutativ…
Anti-selfdual Connections On The Quantum Projective Plane: Instantons
Francesco D'Andrea, Giovanni Landi
We study one-instantons, that is anti-selfdual connections with instanton number 1, on the quantum projective plane with orientation which is reversed with respect to the usual one…