(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
geometry, complex numbers, complex line
$dim = 1$: Riemann surface, super Riemann surface
A complex vector bundle is a vector bundle with respect complex vector spaces.
A complex vector bundle with complex 1-dimensional fibers is a complex line bundle.
The Oka-Grauert principle states that for any Stein manifold $X$ the holomorphic and the topological classification of complex vector bundles on $X$ coincide. The original reference is (Grauert 58).
complex vector bundle
In the context of GAGA:
Last revised on February 15, 2016 at 09:13:48. See the history of this page for a list of all contributions to it.