Modules Over the Noncommutative Torus and Elliptic Curves

被引：0

作者：

Francesco D’Andrea

Gaetano Fiore

Davide Franco

机构：

[1] Università di Napoli Federico II,Dipartimento di Matematica e Applicazioni

[2] I.N.F.N.,undefined

[3] Sezione di Napoli,undefined

[4] Complesso MSA,undefined

来源：

Letters in Mathematical Physics | 2014年 / 104卷

关键词：

Primary 58B34; Secondary 46L87; 53D55; noncommutative torus; imprimitivity bimodules; elliptic curves; Moyal deformation;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Using the Weil–Brezin–Zak transform of solid state physics, we describe line bundles over elliptic curves in terms of Weyl operators. We then discuss the connection with finitely generated projective modules over the algebra Aθ of the noncommutative torus. We show that such Aθ-modules have a natural interpretation as Moyal deformations of vector bundles over an elliptic curve Eτ, under the condition that the deformation parameter θ and the modular parameter τ satisfy a non-trivial relation.

引用

页码：1425 / 1443

页数：18

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