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Examples of noncommutative manifolds: complex tori and spherical manifolds

Jorge Plazas
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Abstract

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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Jorge Plazas. 2007-03-28. Examples of noncommutative manifolds: complex tori and spherical manifolds. https://arxiv.org/abs/math/0703849

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