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Author Kajiura, Hiroshige
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2005-10-14
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Natural sciences & mathematics ♦ Mathematics ♦ Physics
Subject Keyword High Energy Physics - Theory ♦ Mathematics - Algebraic Geometry ♦ Mathematics - Quantum Algebra ♦ math ♦ physics:hep-th
Abstract We construct explicitly noncommutative deformations of categories of holomorphic line bundles over higher dimensional tori. Our basic tools are Heisenberg modules over noncommutative tori and complex/holomorphic structures on them introduced by A. Schwarz. We obtain differential graded (DG) categories as full subcategories of curved DG categories of Heisenberg modules over the complex noncommutative tori. Also, we present the explicit composition formula of morphisms, which in fact depends on the noncommutativity.
Description Reference: J.Math.Phys.48:053517,2007
Educational Use Research
Learning Resource Type Article
Page Count 28


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