Differential and complex geometry of two-dimensional noncommutative tori
Quantum Algebra
2007-05-23 v3
Abstract
We analyze in detail projective modules over two-dimensional noncommutative tori and complex structures on these modules.We concentrate our attention on properties of holomorphic vectors in these modules; the theory of these vectors generalizes the theory of theta-functions. The paper is self-contained; it can be used also as an introduction to the theory of noncommutative spaces with simplest space of this kind thoroughly analyzed as a basic example.
Cite
@article{arxiv.math/0203160,
title = {Differential and complex geometry of two-dimensional noncommutative tori},
author = {Momar Dieng and Albert Schwarz},
journal= {arXiv preprint arXiv:math/0203160},
year = {2007}
}
Comments
final draft