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