Line bundles and the Thom construction in noncommutative geometry

DOI10.4171/JNCG/149zbMath1297.46049arXiv1012.1475OpenAlexW1968353033MaRDI QIDQ2450775

Tomasz Brzeziński, Edwin J. Beggs

Publication date: 16 May 2014

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.1475

zbMATH Keywords

bimodulesChern class\(C^\ast\)-algebraline bundlesHopf-Galois extensionMorita contextThom construction

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Module categories in associative algebras (16D90) Noncommutative differential geometry (46L87) Geometry of quantum groups (58B32) Noncommutative geometry (à la Connes) (58B34)

Related Items (4)

Circle and line bundles over generalized Weyl algebras ⋮ Veronese and Segre morphisms between non-commutative projective spaces ⋮ Bundles over quantum realweighted projective spaces ⋮ Quantum Bianchi identities via DG categories

Cites Work

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• *-compatible connections in noncommutative Riemannian geometry
• Isomorphisms between endomorphism rings of progenerators
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• The Serre spectral sequence of a noncommutative fibration for de Rham cohomology
• Quantum group gauge theory on quantum spaces
• Brauer groups, Hopf algebras and Galois theory
• On twisted tensor products of algebras
• Quantum geometry of algebra factorisations and coalgebra bundles

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