49 citations · 88 across the 4 of their papers we have counts for
4 papers
Mapping spaces and automorphism groups of toric noncommutative spaces
Gwendolyn E. Barnes, Alexander Schenkel, Richard J. Szabo
We develop a sheaf theory approach to toric noncommutative geometry which allows us to formalize the concept of mapping spaces between two toric noncommutative spaces. As an applic…
Working with Nonassociative Geometry and Field Theory
Gwendolyn E. Barnes, Alexander Schenkel, Richard J. Szabo
We review aspects of our formalism for differential geometry on noncommutative and nonassociative spaces which arise from cochain twist deformation quantization of manifolds. We wo…
Nonassociative geometry in quasi-Hopf representation categories II: Connections and curvature
Gwendolyn E. Barnes, Alexander Schenkel, Richard J. Szabo
We continue our systematic development of noncommutative and nonassociative differential geometry internal to the representation category of a quasitriangular quasi-Hopf algebra. W…
Nonassociative geometry in quasi-Hopf representation categories I: Bimodules and their internal homomorphisms
Gwendolyn E. Barnes, Alexander Schenkel, Richard J. Szabo
We systematically study noncommutative and nonassociative algebras A and their bimodules as algebras and bimodules internal to the representation category of a quasitriangular quas…