On the noncommutative geometry of the endomorphism algebra of a vector bundle

DOI10.1016/S0393-0440(99)00009-1zbMath0940.46046arXivmath/9803088OpenAlexW3098455238MaRDI QIDQ1806038

Thierry Masson

Publication date: 11 July 2000

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9803088

zbMATH Keywords

principal bundlenoncommutative differential geometrynoncommutative differential formsderivations of the algebra of endomorphismsoriented complex hermitian vector bundle

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Fiber bundles in algebraic topology (55R10)

Related Items (9)

Connections on Lie algebroids and on derivation-based noncommutative geometry ⋮ Noncommutative \(\varepsilon \)-graded connections ⋮ Derivation-based noncommutative field theories on AF algebras ⋮ Noncommutative geometry of Poisson structures ⋮ On the vacuum states for non-commutative gauge theory ⋮ Noncommutative induced gauge theory ⋮ Extending tangent bundles by an algebra bundle ⋮ EXAMPLES OF DERIVATION-BASED DIFFERENTIAL CALCULI RELATED TO NONCOMMUTATIVE GAUGE THEORIES ⋮ Invariant noncommutative connections

Cites Work

• \(SU(n)\)-connections and noncommutative differential geometry
• Connections on central bimodules in noncommutative differential geometry
• Noncommutative differential geometry of matrix algebras
• Noncommutative differential geometry and new models of gauge theory
• Submanifolds and quotient manifolds in noncommutative geometry
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