nLab
universal characteristic class

Context

Cohomology

cohomology

Special and general types

Special notions

Variants

Extra structure

Operations

Theorems

Contents

Idea

The characteristic classes of universal principal ∞-bundles are called universal characteristic classes. Every other characteristic class arises by pullback from a universal characteristic class.

See characteristic class for more.

extended prequantum field theory

0kn0 \leq k \leq n(off-shell) prequantum (n-k)-bundletraditional terminology
00differential universal characteristic maplevel
11prequantum (n-1)-bundleWZW bundle (n-2)-gerbe
kkprequantum (n-k)-bundle
n1n-1prequantum 1-bundle(off-shell) prequantum bundle
nnprequantum 0-bundleaction functional

References

Textbook accounts include

Revised on February 17, 2016 04:21:25 by Urs Schreiber (195.37.209.180)