Categories of holomorphic line bundles on higher dimensional noncommutative complex tori
High Energy Physics - Theory
2008-11-26 v1 Algebraic Geometry
Quantum Algebra
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.
Keywords
Cite
@article{arxiv.hep-th/0510119,
title = {Categories of holomorphic line bundles on higher dimensional noncommutative complex tori},
author = {Hiroshige Kajiura},
journal= {arXiv preprint arXiv:hep-th/0510119},
year = {2008}
}
Comments
28 pages