Higher Geometry for Non-geometric T-Duals

@article{Nikolaus2019HigherGF,
  title={Higher Geometry for Non-geometric T-Duals},
  author={Thomas Nickelsen Nikolaus and Konrad Waldorf},
  journal={Communications in Mathematical Physics},
  year={2019},
  volume={374},
  pages={317-366}
}
We investigate topological T-duality in the framework of non-abelian gerbes and higher gauge groups. We show that this framework admits the gluing of locally defined T-duals, in situations where no globally defined (“geometric”) T-duals exist. The gluing results into new, higher-geometrical objects that can be used to study non-geometric T-duals, alternatively to other approaches like non-commutative geometry. 
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