Prequantization of a Non-Exact Courant Algebroid
Speaker:
Gavin Hurd, University of Toronto
Date and Time:
Monday, January 29, 2024 - 1:30pm to 3:00pm
Location:
Fields Institute, Room 210
Abstract:
On a smooth manifold M, the direct sum of the tangent bundle, the cotangent bundle, and a trivial rank 1 bundle has the structure of a Courant algebroid. Courant algebroids that are locally of this form are classified by a twist consisting of a closed 2-form and a compatible 3-form. Assuming a prequantization condition holds, I will show how such a pair of forms gives rise to a principal bundle over M and an equivariant gerbe over the principal bundle.