# 2-vector bundles

@inproceedings{Kristel20212vectorB, title={2-vector bundles}, author={P. Kristel and Matthias Ludewig and K. Waldorf}, year={2021} }

We develop a ready-to-use comprehensive theory for (super) 2-vector bundles over smooth manifolds. It is based on the bicategory of (super) algebras, bimodules, and intertwiners as a model for 2-vector spaces. We show that our 2-vector bundles form a symmetric monoidal 2-stack, we discuss the dualizable, fully dualizable, and invertible objects, and we derive a classification in terms of non-abelian Cech cohomology. One important feature of our 2-vector bundles is that they contain bundle… Expand

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