Quantum weighted projective and Lens spaces

DOI10.1007/s00220-015-2450-5zbMath1327.58009arXiv1410.4508OpenAlexW1608065080MaRDI QIDQ500045

Giovanni Landi, Francesco D'Andrea

Publication date: 7 October 2015

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.4508

zbMATH Keywords

\(K\)-theoryquantum lens spaces\(K\)-homologyFredholm modulesquantum weighted projective spaces

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) (K)-theory and homology; cyclic homology and cohomology (19D55) Noncommutative geometry (à la Connes) (58B34) Noncommutative global analysis, noncommutative residues (58J42)

Related Items (5)

Veronese and Segre morphisms between non-commutative projective spaces ⋮ Quantum principal bundles on projective bases ⋮ On the classification and description of quantum lens spaces as graph algebras ⋮ An equivariant pullback structure of trimmable graph \(C^{\ast}\)-algebras ⋮ The geometry of quantum lens spaces: real spectral triples and bundle structure

Cites Work

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• Pimsner algebras and Gysin sequences from principal circle actions
• Fredholm modules for quantum Euclidean spheres
• Chern-Simons theory on Seifert 3-manifolds
• Dirac operators on quantum projective spaces
• Dirac operators on all Podleś quantum spheres
• Quantum group gauge theory on quantum spaces
• Complex \(K\)-theory of weighted projective spaces
• Quantum teardrops
• Quantum lens spaces and graph algebras.
• Strong connections on quantum principal bundles
• Bounded and unbounded Fredholm modules for quantum projective spaces
• THE NONCOMMUTATIVE GEOMETRY OF THE QUANTUM PROJECTIVE PLANE
• The classification of weighted projective spaces
• Differential calculus on quantum projective spaces
• The Gysin sequence for quantum Lens spaces

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