101 citations · 352 across the 34 of their papers we have counts for
38 papers
On the existence of noncommutative Levi-Civita connections in derivation based calculi
Joakim Arnlind, Victor Hildebrandsson
We study the existence of Levi-Civita connections, i.e torsion free connections compatible with a hermitian form, in the setting of derivation based noncommutative differential cal…
Noncommutative Riemannian geometry of Kronecker algebras
Joakim Arnlind
We study aspects of noncommutative Riemannian geometry of the path algebra arising from the Kronecker quiver with N arrows. To start with, the framework of derivation based differe…
On the geometry of -algebras
Joakim Arnlind, Kwalombota Ilwale
We introduce -algebras as a framework for twisted differential calculi over noncommutative, as well as commutative, algebras with motivations from the theory of -derivati…
Levi-Civita connections on quantum spheres
Joakim Arnlind, Kwalombota Ilwale, Giovanni Landi
We introduce -deformed connections on the quantum 2-sphere and 3-sphere, satisfying a twisted Leibniz rule in analogy with -deformed derivations. We show that such connection…
On the construction of fuzzy spaces and modules over shift algebras
Joakim Arnlind, Andreas Sykora
We introduce shift algebras as certain crossed product algebras based on general function spaces and study properties, as well as the classification, of a particular class of modul…
Levi-Civita connections for a class of noncommutative minimal surfaces
Joakim Arnlind
We study connections on hermitian modules, and show that metric connections exist on regular hermitian modules; i.e finitely generated projective modules together with a non-singul…