Complex geometry of quantum cones

DOI10.1002/prop.201400051zbMath1338.81236arXiv1406.2517OpenAlexW1857473660MaRDI QIDQ2812670

Tomasz Brzeziński

Publication date: 17 June 2016

Published in: Fortschritte der Physik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.2517

zbMATH Keywords

differential calculusquantum conesmooth algebraholomorphic structure

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Special algebraic curves and curves of low genus (14H45) Noncommutative geometry in quantum theory (81R60)

Related Items (3)

Twisted reality condition for Dirac operators ⋮ Coherent states attached to the quantum disc algebra and their associated polynomials ⋮ Translation map in quantum principal bundles

Cites Work

• *-compatible connections in noncommutative Riemannian geometry
• Non-commutative integral forms and twisted multi-derivations
• Quantum spheres
• On \(q\)-analogues of bounded symmetric domains and Dolbeault complexes
• Quantum and braided group Riemannian geometry
• Quantum group gauge theory on quantum spaces
• The Chern-Galois character.
• Quantum teardrops
• On the Hochschild (co)homology of quantum homogeneous spaces.
• Covering and gluing of algebras and differential algebras
• The two-parameter quantum deformation of the unit disc
• A relation between Hochschild homology and cohomology for Gorenstein rings

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