Moduli space and structure of noncommutative 3-spheres

DOI10.1023/B:MATH.0000017678.10681.1ezbMath1052.58012arXivmath/0308275MaRDI QIDQ1431317

Michel Dubois-Violette, Alain Connes

Publication date: 27 May 2004

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0308275

zbMATH Keywords

elliptic curvessymmetric spacesnoncommutative geometrymodular formselliptic functions

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Differential geometry of symmetric spaces (53C35) Noncommutative geometry (à la Connes) (58B34) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89)

Related Items (16)

Metric aspects of noncommutative homogeneous spaces ⋮ Noncommutative Euclidean spaces ⋮ A duality principle for noncommutative cubes and spheres ⋮ Quantum groups and deformation quantization: Explicit approaches and implicit aspects ⋮ Quantization: Deformation and/or functor? ⋮ Unitary easy quantum groups: geometric aspects ⋮ \(q\)-fuzzy spheres and quantum differentials on \(B_q[\mathrm{SU}_2\) and \(U_q(\mathrm{su}_2)\)] ⋮ Liberations and twists of real and complex spheres ⋮ Multilinear forms and graded algebras ⋮ Exotic elliptic algebras of dimension 4. With an appendix by Derek Tomlin ⋮ The Ricci flow on noncommutative two-tori ⋮ The \(K\)-theory of Heegaard-type quantum 3-spheres ⋮ Noncommutative finite dimensional manifolds. II: Moduli space and structure of noncommutative 3-spheres ⋮ Hochschild dimension for graded algebras. ⋮ Graded algebras and multilinear forms. ⋮ On the absence of continuous symmetries for noncommutative 3-spheres

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