Higher prequantum geometry
arXiv:1601.05956 · doi:10.1017/9781108854429
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.
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