Higher U(1)-gerbe connections in geometric prequantization

  title={Higher U(1)-gerbe connections in geometric prequantization},
  author={Domenico Fiorenza and Christopher L. Rogers and Urs Schreiber},
  journal={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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