Differential Geometry of Relative Gerbes
Differential Geometry
2007-05-23 v1 Symplectic Geometry
Abstract
This thesis introduces the notion of "relative gerbes" for smooth maps of manifolds, and discusses their differential geometry. The equivalence classes of relative gerbes are classified by the relative integral cohomology in degree three. Furthermore, by using the concept of relative gerbes, the pre-quantization of Lie group-valued moment maps is developed, and its equivalence with the pre-quantization of infinite-dimensional Hamiltonian loop group spaces is established.
Cite
@article{arxiv.math/0505237,
title = {Differential Geometry of Relative Gerbes},
author = {Zohreh Shahbazi},
journal= {arXiv preprint arXiv:math/0505237},
year = {2007}
}
Comments
83 pages, 1 figure, Ph.D. Thesis Dissertation