Obstruction class for the existence of a conformal spin structure in a strict sense

DOI10.1007/s00006-020-1044-2zbMath1446.53042OpenAlexW3005532216MaRDI QIDQ2301512

Pierre Anglès

Publication date: 24 February 2020

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-020-1044-2

zbMATH Keywords

spin structureobstruction class\(C_n(p,q)\)-spin structureconformal spin structurepin \((p,q)\)-spin structure

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Spin and Spin({}^c) geometry (53C27) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Clifford algebras, spinors (15A66) Conformal structures on manifolds (53C18)

Cites Work

• Conformal groups in geometry and spin structures
• A few comments on conformal spin structures and conformal \(\mathrm{U}(1)\)-spin structures on a pseudo-Riemannian \(2r\)-dimensional manifold \(V\)
• The many faces of Maxwell, Dirac and Einstein equations. A Clifford bundle approach
• Clifford modules
• Spin structures on manifolds
• Cohomology Operations (AM-50)
• Champs spinoriels et propagateurs en relativité générale
• Algèbres de Clifford et $K$-théorie
• On the automorphisms of the classical groups. With a supplement by Loo-Keng Hua
• Sur L'Homologie et la Cohomologie des Groupes de Lie Compacts Connexes
• The structure of the Clifford algebra
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