English

Examples of noncommutative manifolds: complex tori and spherical manifolds

Quantum Algebra 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0703849,
  title  = {Examples of noncommutative manifolds: complex tori and spherical manifolds},
  author = {Jorge Plazas},
  journal= {arXiv preprint arXiv:math/0703849},
  year   = {2007}
}

Comments

Survey article. Final version. To appear in the proceedings volume of the "International Workshop on Noncommutative Geometry", IPM, Tehran 2005