The quantum flag manifold ${SU_q(3)/\T^2}$ is interpreted as a noncommtative bundle over the quantum complex projective plane with the quantum or Podle\'s sphere as a fibre. A connection arising from the (associated) quantum principal $U_q(2)$-bundle is described
AbstractWe consider quantum invariants of 3-manifolds associated with arbitrary simple Lie algebras....
AbstractIt is shown that quantized irreducible flag manifolds possess a canonical q-analogue of the ...
This introductory text is the first book about quantum principal bundles and their quantum connectio...
We introduce C∗-algebras associated to the foliation structure of a quantum flag manifold. We use t...
PhDNoncommutative Riemannian geometry is an area that has seen intense activity over the past 25 ye...
An algebraic framework for noncommutative bundles with (quantum) homogeneous fibres is proposed. Th...
We introduce $q$-deformed connections on the quantum 2-sphere and 3-sphere, satisfying a twisted Lei...
Abstract. The SU(2)-prolongation of the Hopf fibration S3 → S2 is a trivializable principal SU(2)-bu...
We describe an approach to the noncommutative instantons on the 4-sphere based on quantum group theo...
In this thesis, we study complex structures of quantum projectivespaces that was initiated in [19] f...
AbstractWe suggest a possible programme to associate geometric “flag-like” data to an arbitrary simp...
Various geometrical aspects of quantum spaces are presented showing the possibility of building phys...
19 pages in harvmac big, 5 figures; v2: refs added ; v3: more refs added19 pages in harvmac big, 5 f...
The purpose of this paper is to propose a sheaf theoretic approach to the theory of quantum principa...
These notes are a short review of the q-deformed fuzzy sphere S^2_{q,N}, which is a ``finite'' nonco...
AbstractWe consider quantum invariants of 3-manifolds associated with arbitrary simple Lie algebras....
AbstractIt is shown that quantized irreducible flag manifolds possess a canonical q-analogue of the ...
This introductory text is the first book about quantum principal bundles and their quantum connectio...
We introduce C∗-algebras associated to the foliation structure of a quantum flag manifold. We use t...
PhDNoncommutative Riemannian geometry is an area that has seen intense activity over the past 25 ye...
An algebraic framework for noncommutative bundles with (quantum) homogeneous fibres is proposed. Th...
We introduce $q$-deformed connections on the quantum 2-sphere and 3-sphere, satisfying a twisted Lei...
Abstract. The SU(2)-prolongation of the Hopf fibration S3 → S2 is a trivializable principal SU(2)-bu...
We describe an approach to the noncommutative instantons on the 4-sphere based on quantum group theo...
In this thesis, we study complex structures of quantum projectivespaces that was initiated in [19] f...
AbstractWe suggest a possible programme to associate geometric “flag-like” data to an arbitrary simp...
Various geometrical aspects of quantum spaces are presented showing the possibility of building phys...
19 pages in harvmac big, 5 figures; v2: refs added ; v3: more refs added19 pages in harvmac big, 5 f...
The purpose of this paper is to propose a sheaf theoretic approach to the theory of quantum principa...
These notes are a short review of the q-deformed fuzzy sphere S^2_{q,N}, which is a ``finite'' nonco...
AbstractWe consider quantum invariants of 3-manifolds associated with arbitrary simple Lie algebras....
AbstractIt is shown that quantized irreducible flag manifolds possess a canonical q-analogue of the ...
This introductory text is the first book about quantum principal bundles and their quantum connectio...
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