2013/10/11 by Calder Daenzer, Daenzer, Calder
Agricultural and Biological Sciences · Mathematics · Physics and Astronomy · #Algebraic Topology (math.AT) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons #Phytochemistry and Biological Activities #hep-th #math.AT
paper · pdf · doi:10.48550/arxiv.1310.3184
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arxiv created 2013/10/11 · openalex publication_date 2013/10/11 · arxiv updated 2013/10/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this article we realize T-duality as a geometric transform of bundles of abelian group stacks. The transform applies in the algebro-geometric setting as well as the topological setting, and thus makes precise the link between the models of T-duality in these two settings, which are superficially quite different. The transform is also valid for torus bundles with affine structure group, and thus provides a constructive method of producing T-duals in the affine case.