# Categorical structures on bundle gerbes and higher geometric prequantisation

@article{Bunk2017CategoricalSO, title={Categorical structures on bundle gerbes and higher geometric prequantisation}, author={Severin Bunk}, journal={arXiv: Mathematical Physics}, year={2017} }

We present a construction of a 2-Hilbert space of sections of a bundle gerbe, a suitable candidate for a prequantum 2-Hilbert space in higher geometric quantisation. We introduce a direct sum on the morphism categories in the 2-category of bundle gerbes and show that these categories are cartesian monoidal and abelian. Endomorphisms of the trivial bundle gerbe, or higher functions, carry the structure of a rig-category, which acts on generic morphism categories of bundle gerbes. We continue by…

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