Higher prequantum geometry
Mathematical Physics
2023-11-07 v1 High Energy Physics - Theory
Analysis of PDEs
Category Theory
Differential Geometry
math.MP
Abstract
This is a survey of motivations, constructions and applications of higher prequantum geometry. In section 1 we highlight the open problem of prequantizing local field theory in a local and gauge invariant way, and we survey how a solution to this problem exists in higher differential geometry. In section 2 we survey examples and problems of interest. In section 3 we survey the abstract cohesive homotopy theory that serves to make all this precise and tractable.
Cite
@article{arxiv.1601.05956,
title = {Higher prequantum geometry},
author = {Urs Schreiber},
journal= {arXiv preprint arXiv:1601.05956},
year = {2023}
}
Comments
expanded version of my contribution to Catren, Anel (eds.) "New Spaces in Mathematics and Physics" (ercpqg-espace.sciencesconf.org). arXiv admin note: contained in arXiv:1310.7930