The Serre spectral sequence of a noncommutative fibration for de Rham cohomology

DOI10.1007/BF02588079zbMath1130.46044arXivmath/0508194OpenAlexW2087111792MaRDI QIDQ856797

Tomasz Brzeziński, Edwin J. Beggs

Publication date: 12 December 2006

Published in: Acta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0508194

zbMATH Keywords

differential graded algebradifferential bimodulenoncommutative de Rham cohomologynoncommutative differential calculusnoncommutative fibration

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Differential graded algebras and applications (associative algebraic aspects) (16E45)

Related Items

Non-commutative complex differential geometry, *-compatible connections in noncommutative Riemannian geometry, Differential and holomorphic differential operators on noncommutative algebras, Noncommutative geodesics and the KSGNS construction, Line bundles and the Thom construction in noncommutative geometry, Quantum Bianchi identities via DG categories, Pre-torsors and equivalences., NON-COMMUTATIVE CONNECTIONS OF THE SECOND KIND, A LERAY SPECTRAL SEQUENCE FOR NONCOMMUTATIVE DIFFERENTIAL FIBRATIONS

Cites Work

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• Frobenius and separable functors for generalized module categories and nonlinear equations
• Principal homogeneous spaces for arbitrary Hopf algebras
• Quantum spheres
• Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
• Quantum group gauge theory on quantum spaces
• Noncommutative Riemannian and spin geometry of the standard \(q\)-sphere
• Remarks on bicovariant differential calculi and exterior Hopf algebras
• Differential calculus on compact matrix pseudogroups (quantum groups)
• The formal theory of monads. II
• The bicategories of corings.
• On the structure of Hopf algebras
• Integrals for Hopf algebras
• The formal theory of monads
• De Rham Cohomology and Hodge Decomposition For Quantum Groups
• Introduction to bicategories
• THE VAN EST SPECTRAL SEQUENCE FOR HOPF ALGEBRAS