• Corpus ID: 119130365

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}
}
  • Severin Bunk
  • Published 18 September 2017
  • Mathematics
  • arXiv: Mathematical Physics
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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