• Corpus ID: 248069426

The insidious bicategory of algebra bundles

@inproceedings{Kristel2022TheIB,
  title={The insidious bicategory of algebra bundles},
  author={Peter Kristel and Matthias Ludewig and Konrad Waldorf},
  year={2022}
}
In this paper we construct a bicategory of (super) algebra bundles over a smooth manifold, where the 1-morphisms are bundles of bimodules. The main point is that naive definitions of bimodule bundles will not lead to a well-defined composition law in such a bicategory, at least not if non-invertible bimodules and non-semisimple algebras are desired. This problem has not been addressed so far in the literature. We develop a complete solution, and also address symmetric monoidal structures as well… 
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