Dirac operators on the S3 and S2 spheres

DOI10.1142/S0219887817400059zbMath1375.53062arXiv1609.05868MaRDI QIDQ5363347

Alessandro Zampini, Fabio Di Cosmo

Publication date: 5 October 2017

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.05868

zbMATH Keywords

Dirac operatorsspheresspinors

Mathematics Subject Classification ID

Spin and Spin({}^c) geometry (53C27)

Related Items (3)

Symmetries and reduction Part II — Lagrangian and Hamilton–Jacobi picture ⋮ A Hodge–de Rham Dirac operator on the quantum SU(2) ⋮ Covariant Jacobi brackets for test particles

Cites Work

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• The Dirac operator on space forms of positive curvature
• On the eigenfunctions of the Dirac operator on spheres and real hyperbolic spaces
• HODGE DUALITY OPERATORS ON LEFT-COVARIANT EXTERIOR ALGEBRAS OVER TWO- AND THREE-DIMENSIONAL QUANTUM SPHERES
• CALCULI, HODGE OPERATORS AND LAPLACIANS ON A QUANTUM HOPF FIBRATION
• Dirac operators on coset spaces
• Projective modules of finite type and monopoles over \(S^2\)

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