(see also Chern-Weil theory, parameterized homotopy theory)
vector bundle, (∞,1)-vector bundle
topological vector bundle, differentiable vector bundle, algebraic vector bundle
direct sum of vector bundles, tensor product of vector bundles, inner product of vector bundles?, dual vector bundle
group cohomology, nonabelian group cohomology, Lie group cohomology
cohomology with constant coefficients / with a local system of coefficients
differential cohomology
A principal 3-bundle is a $G$-principal ∞-bundle over a 3-group $G$.
For $G = \mathbf{B}^2 U(1)$ the circle Lie 3-group, the total space of a $\mathbf{B}^2 U(1)$-principal 3-bundle is modeled by a bundle 2-gerbe.
See connection on a 3-bundle .
Last revised on June 29, 2012 at 14:03:40. See the history of this page for a list of all contributions to it.