geometric quantization higher geometric quantization
geometry of physics: Lagrangians and Action functionals + Geometric Quantization
prequantum circle n-bundle = extended Lagrangian
prequantum 1-bundle = prequantum circle bundle, regularcontact manifold,prequantum line bundle = lift of symplectic form to differential cohomology
vector bundle, 2-vector bundle, (∞,1)-vector bundle
real, complex/holomorphic, quaternionic
In higher geometric prequantization (see there for more details for the moment) the notion of prequantum circle bundle is refined to that of a prequantum circle n-bundle with connection for all .
Given an E-infinity ring and an infinity-representation
we have the associated infinity-bundle
This is the higher analog of the prequantum line bundle, the higher prequantum line bundle.
See at motivic quantization for more on this.
Last revised on November 23, 2023 at 17:15:21. See the history of this page for a list of all contributions to it.