21 citations · 50 across the 10 of their papers we have counts for
10 papers
Noncommutative differential geometry on crossed product algebras
Andrea Sciandra, Thomas Weber
We provide a differential structure on arbitrary cleft extensions for an -comodule algebra . This is achieved by constructing a covariant cal…
Metric compatibility and Levi-Civita Connections on Quantum Groups
Paolo Aschieri, Thomas Weber
Arbitrary connections on a generic Hopf algebra are studied and shown to extend to connections on tensor fields. On this ground a general definition of metric compatible connec…
Differential Calculi on Quantum Principal Bundles over Projective Bases
P. Aschieri, R. Fioresi, E. Latini +1
We propose a sheaf-theoretic approach to the theory of differential calculi on quantum principal bundles over non-affine bases. After recalling the affine case we define differenti…
Twisted Quadrics and Algebraic Submanifolds in
Gaetano Fiore, Davide Franco, Thomas Weber
We propose a general procedure to construct noncommutative deformations of an algebraic submanifold of , specializing the procedure [G. Fiore, T. Weber, Twisted s…
Twisted submanifolds of R^n
Gaetano Fiore, Thomas Weber
We propose a general procedure to construct noncommutative deformations of an embedded submanifold of determined by a set of smooth equations . We use…
Braided Commutative Geometry and Drinfel'd Twist Deformations
Thomas Weber
In this thesis we give obstructions for Drinfel'd twist deformation quantization on several classes of symplectic manifolds. Motivated from this quantization procedure, we further…