On the moduli space of a quantum Heisenberg manifold

DOI10.1016/j.jfa.2012.05.009zbMath1262.58006OpenAlexW1968667094MaRDI QIDQ444885

Hyun Ho Lee

Publication date: 24 August 2012

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2012.05.009

zbMATH Keywords

strong Morita equivalencemoduli spaceYang-Mills functionalquantum Heisenberg manifold

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Noncommutative geometry (à la Connes) (58B34) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items (4)

Subadditivity and additivity of the noncommutative Yang-Mills action functional ⋮ Yang-Mills connections on quantum Heisenberg manifolds ⋮ Yang-Mills on quantum Heisenberg manifolds ⋮ Quantum Heisenberg manifolds as twisted groupoid \(C^\ast\)-algebras

Cites Work

• The Yang-Mills functional and Laplace's equation on quantum Heisenberg manifolds
• C*-algebras associated with irrational rotations
• Critical points of Yang-Mills for noncommutative two-tori
• Deformation quantization of Heisenberg manifolds
• Generalized fixed-point algebras of certain actions on crossed products
• Noncommutative variations on Laplace's equation
• Noncommutative Families of Instantons
• "Vector bundles" over quantum Heisenberg manifolds
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