On n-connections and parallel transport

Seminar: 
Geometry, Symmetry and Physics
Event time: 
Thursday, September 20, 2007 - 12:30pm to 1:30pm
Location: 
214LOM
Speaker: 
Urs Schreiber
Speaker affiliation: 
University of Hamburg
Event description: 

Bundles with connection can be equivalently conceived in
terms of their parallel transport functors, which send paths in the
base to morphisms of the fibers.This generalizes from 1-functors to
n-functors, which send n-dimensional volumes to certain n-morphisms.
2-Transport describes gerbes with connection. By differentiating this
setup, String and Chern-Simons 3-connections can be studied using Lie
n-algebra theory.