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Examples of noncommutative manifolds: complex tori and spherical manifolds
, 2007
"... We survey some aspects of the theory of noncommutative manifolds focusing on the noncommutative analogs of twodimensional tori and lowdimensional spheres. We are particularly interested in those aspects of the theory that link the differential geometry and the algebraic geometry of these spaces. ..."
Abstract

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We survey some aspects of the theory of noncommutative manifolds focusing on the noncommutative analogs of twodimensional tori and lowdimensional spheres. We are particularly interested in those aspects of the theory that link the differential geometry and the algebraic geometry of these spaces.