DIRAC OPERATORS ON NONCOMMUTATIVE PRINCIPAL CIRCLE BUNDLES
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Publication:2874235
DOI10.1142/S0219887814500121zbMath1284.58015arXiv1305.6185OpenAlexW3099969789MaRDI QIDQ2874235
Alessandro Zucca, Andrzej Sitarz, Ludwik Dąbrowski
Publication date: 29 January 2014
Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1305.6185
Noncommutative global analysis, noncommutative residues (58J42) Fiber bundles in algebraic topology (55R10) Hopf algebras and their applications (16T05)
Related Items (9)
An Atiyah sequence for noncommutative principal bundles ⋮ Gauge theory for spectral triples and the unbounded Kasparov product ⋮ Riemannian submersions and factorization of Dirac operators ⋮ Gauge theory on noncommutative Riemannian principal bundles ⋮ Free actions of compact abelian groups on \(C^{\ast}\)-algebras. I. ⋮ FACTORISATION OF EQUIVARIANT SPECTRAL TRIPLES IN UNBOUNDED -THEORY ⋮ Lifting spectral triples to noncommutative principal bundles ⋮ The geometry of quantum lens spaces: real spectral triples and bundle structure ⋮ Scalar curvature for noncommutative four-tori
Cites Work
- Bundles over quantum realweighted projective spaces
- Quantum principal bundles over quantum real projective spaces
- Gravity coupled with matter and the foundation of non-commutative geometry
- The Dirac operator on nilmanifolds and collapsing circle bundles
- Noncommutative finite-dimensional manifolds. I: Spherical manifolds and related examples
- Geometry from the spectral point of view
- Noncommutative circle bundles and new Dirac operators
- Projective module description of the \(q\)-monopole
- Strong connections on quantum principal bundles
- PRODUCT OF REAL SPECTRAL TRIPLES
- Curved noncommutative torus and Gauss–Bonnet
- Noncommutative manifolds, the instanton algebra and isospectral deformations
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