Non-commutative complex differential geometry

DOI10.1016/j.geomphys.2013.03.018zbMath1286.32008arXiv1209.3595OpenAlexW2963176079WikidataQ115353176 ScholiaQ115353176MaRDI QIDQ390943

Edwin J. Beggs, S. Paul. Smith

Publication date: 9 January 2014

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

Full work available at URL: https://arxiv.org/abs/1209.3595

zbMATH Keywords

non-commutative algebraic geometrynon-commutative analogues of almost complex structuresnon-commutative analogues of holomorphic sheaves

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Noncommutative differential geometry (46L87) Compact analytic spaces (32J99) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Noncommutative geometry (à la Connes) (58B34) Almost complex manifolds (32Q60)

Related Items (18)

Quantum Riemannian geometry of phase space and nonassociativity ⋮ Noncommutative Kähler structures on quantum homogeneous spaces ⋮ Differential and holomorphic differential operators on noncommutative algebras ⋮ Noncommutative complex structures on quantum homogeneous spaces ⋮ Covariant connections on bicovariant differential calculus ⋮ A Borel-Weil theorem for the quantum Grassmannians ⋮ A Dolbeault-Dirac spectral triple for quantum projective space ⋮ Twisted Hochschild homology of quantum flag manifolds and Kähler forms ⋮ Holomorphic relative Hopf modules over the irreducible quantum flag manifolds ⋮ Poisson-Riemannian geometry ⋮ (para-) Kähler structures on \(\rho \)-commutative algebras ⋮ Noncommutative differential geometry of generalized Weyl algebras. ⋮ Holomorphic functions on the quantum polydisk and on the quantum ball ⋮ Generalized symmetry in noncommutative (complex) geometry ⋮ Kähler structures on quantum irreducible flag manifolds ⋮ Noncommutative Kähler structure on \(C^\ast\)-dynamical systems ⋮ Positive line modules over the irreducible quantum flag manifolds ⋮ Holomorphically finitely generated algebras

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