# Higher U(1)-gerbe connections in geometric prequantization

@article{Fiorenza2013HigherUC,
title={Higher U(1)-gerbe connections in geometric prequantization},
author={Domenico Fiorenza and Christopher L. Rogers and Urs Schreiber},
journal={Reviews in Mathematical Physics},
year={2013},
volume={28},
pages={1650012}
}
• Published 31 March 2013
• Mathematics
• Reviews in Mathematical Physics
We promote geometric prequantization to higher geometry (higher stacks), where a prequantization is given by a higher principal connection (a higher gerbe with connection). We show fairly generally how there is canonically a tower of higher gauge groupoids and Courant groupoids assigned to a higher prequantization, and establish the corresponding Atiyah sequence as an integrated Kostant–Souriau ∞-group extension of higher Hamiltonian symplectomorphisms by higher quantomorphisms. We also exhibit…
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