New posts in vector-bundles

When does a SES of vector bundles split?

differential-geometry algebraic-geometry differential-topology vector-bundles

Vector Bundle Over Contractible Manifold

differential-geometry manifolds vector-bundles

What's the intuition behind the tangent bundle?

differential-geometry manifolds vector-bundles

Thom isomorphism for generalized cohomology theories.

algebraic-topology homology-cohomology homotopy-theory vector-bundles

$d_{\nabla}^2u = F_{\nabla}\circ u$?

differential-geometry vector-bundles connections

Properties of the category of smooth vector bundles over a smooth manifold

differential-geometry category-theory manifolds vector-bundles

How a principal bundle and the associated vector bundle determine each other

differential-geometry vector-bundles principal-bundles

"Drawable" Examples of Vector Bundles

differential-geometry manifolds vector-bundles fiber-bundles smooth-manifolds

Are there any simply connected parallelizable 4-manifolds?

differential-geometry algebraic-topology vector-bundles 4-manifolds

Why is the tangent bundle defined using a disjoint union?

differential-geometry differential-topology vector-bundles tangent-bundle tangent-spaces

The Stiefel-Whitney classes of a tangent bundle as a manifold

algebraic-topology differential-topology vector-bundles characteristic-classes

What do the fibers of the double tangent bundle look like?

differential-geometry vector-bundles vector-fields tangent-bundle

Why can we always take the zero section of a vector bundle?

general-topology geometry differential-topology vector-bundles

An example of a triple $(E,\pi,M)$ which is not a vector bundle

differential-geometry vector-bundles fiber-bundles

Is the space of smooth sections of a vector bundle finitely generated as a $C^\infty$-module?

differential-geometry vector-bundles

If a line bundle and its dual both have a section (on a projective variety) does this imply that the bundle is trivial?

algebraic-geometry projective-geometry vector-bundles

Any example of manifold without global trivialization of tangent bundle

differential-geometry manifolds vector-bundles

Why is the Sasaki metric natural?

differential-geometry manifolds riemannian-geometry vector-bundles tangent-bundle

Global Trivialization of $M\oplus M$

vector-bundles klein-bottle mobius-band

Quick question: Chern classes of Sym, Wedge, Hom, and Tensor

algebraic-geometry surfaces vector-bundles characteristic-classes holomorphic-bundles