# T-Duality via Gerby Geometry and Reductions

@article{Bunke2013TDualityVG,
title={T-Duality via Gerby Geometry and Reductions},
author={Ulrich Bunke and Thomas Nickelsen Nikolaus},
journal={arXiv: Differential Geometry},
year={2013}
}
• Published 26 May 2013
• Mathematics
• arXiv: Differential Geometry
We consider topological T-duality of torus bundles equipped with S^{1}-gerbes. We show how a geometry on the gerbe determines a reduction of its band to the subsheaf of S^{1}-valued functions which are constant along the torus fibres. We observe that such a reduction is exactly the additional datum needed for the construction of a T-dual pair. We illustrate the theory by working out the example of the canonical lifting gerbe on a compact Lie group which is a torus bundles over the associated…
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