Differential and Complex Geometry of Two-Dimensional Noncommutative Tori |
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Authors: | Dieng Momar |
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Affiliation: | (1) Department of Mathematics, University of California, Davis, CA, 95616, U.S.A. |
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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. |
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Keywords: | complex noncommutative geometry noncommutative torus |
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