Examples of noncommutative manifolds: complex tori and spherical manifolds

Details Examples of noncommutative manifolds: complex tori and spherical manifolds Examples of noncommutative manifolds: complex tori and spherical manifolds

2007-03-28

arxiv.org/abs/math/0703849v1

Mathematics

Quantum Algebra

Survey article. Final version. To appear in the proceedings volume of the "International Workshop on Noncommutative Geometry",

Scientific paper

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.

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