507 citations · 529 across the 3 of their papers we have counts for
5 papers
A Gravity Theory on Noncommutative Spaces
Paolo Aschieri, Christian Blohmann, Marija Dimitrijevic +3
A deformation of the algebra of diffeomorphisms is constructed for canonically deformed spaces with constant deformation parameter theta. The algebraic relations remain the same, w…
Renormalizable Theories from Fuzzy Higher Dimensions
Paolo Aschieri, John Madore, Pantelis Manousselis +1
We consider gauge theories defined in higher dimensions where the extra dimensions form a fuzzy space (a finite matrix manifold). We reinterpret these gauge theories as four-dimens…
Noncommutative gerbes and deformation quantization
Paolo Aschieri, Igor Bakovic, Branislav Jurco +1
We define noncommutative gerbes using the language of star products. Quantized twisted Poisson structures are discussed as an explicit realization in the sense of deformation quant…
On the Noncommutative Geometry of Twisted Spheres
Paolo Aschieri, Francesco Bonechi
We describe noncommutative geometric aspects of twisted deformations, in particular of the spheres in Connes and Landi [8] and in Connes and Dubois Violette [7], by using the diffe…
On the Geometry of Inhomogeneous Quantum Groups
Paolo Aschieri
We first give a pedagogical introduction to the differential calculus on q-groups and analize the relation between differential calculus and q-Lie algebra. Equivalent definitions o…