Examples of noncommutative manifolds: complex tori and spherical manifolds

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We survey some aspects of the theory of noncommutative manifolds focusing on the noncommutative analogs of two-dimensional tori and low-dimensional spheres. We are particularly interested in those aspects of the theory that link the differential geometry and the algebraic geometry of these spaces.
Survey article. Final version. To appear in the proceedings volume of the "International Workshop on Noncommutative Geometry", IPM, Tehran 2005

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Quantum Algebra, Primary 58B34, 46L87; Secondary 46L89, 16S38

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http://salesiana.dossiersoluciones.com/handle/123456789/126537

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0703849
 http://arxiv.org/abs/math/0703849

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arXiv