(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
For $G$ a Lie group and $\mathfrak{g}$ its Lie algebra, and for $P \to X$ a $G$-principal bundle, the corresponding adjoint bundle is the associated bundle $P \times_G \mathfrak{g} \to X$ via the adjoint action/adjoint representation of $G$ on $\mathfrak{g}$.
Created on February 8, 2013 at 12:31:09. See the history of this page for a list of all contributions to it.