Building on the theory of noncommutative complex structures, the notion of a
noncommutative Kähler structure is introduced. In the quantum homogeneous space case …

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 differential …

The purpose of this paper is to propose a sheaf theoretic approach to the theory of quantum
principal bundles over non affine bases. We study noncommutative principal bundles …

Abstract We realise Heckenberger and Kolb's canonical calculus on quantum projective (N−
1)-space C q [C p N− 1] as the restriction of a distinguished quotient of the standard …

Derivation based differential calculi for noncommutative algebras deforming a class of three
dimensional spaces - ScienceDirect Skip to main contentSkip to article Elsevier logo …

We introduce a construction in which a linear operator on a compact quantum group, which
is supposed to become Laplacian, induces a bicovariant first order differential calculus …

Yang–Mills-scalar-matter fields in the quantum Hopf fibration | Boletín de la Sociedad Matemática
Mexicana Skip to main content SpringerLink Account Menu Find a journal Publish with us Track …

In this thesis I discuss some results on the noncommutative (spin) geometry of quantum
principal G-bundles. The first part of the thesis is devoted to the study of spectral triples over …

Dirac operators on the and spheres Page 1 International Journal of Geometric Methods in
Modern Physics Vol. 14, No. 8 (2017) 1740005 (34 pages) c World Scientific Publishing …

Using non-canonical braidings, we first introduce a notion of symmetric tensors and
corresponding Hodge operators on a class of left-covariant 3d differential calculi over SU q …