New posts in vector-bundles

Are there vector bundles that are not locally trivial?

vector-bundles fiber-bundles

Obtaining the Dolbeault operator on the pullbak of the holomorphic tangent bundle.

differential-geometry complex-geometry vector-bundles holomorphic-bundles

Spin structures, frame bundles, and trivializations over the 2-skeleton

algebraic-topology vector-bundles fiber-bundles

What can we say about a vector bundle with trivial unit sphere bundle?

differential-geometry vector-bundles fiber-bundles characteristic-classes

How do we describe maps of line bundles on $\mathbb{P}^1$?

algebraic-geometry complex-geometry vector-bundles

Structure of double tangent bundle

differential-geometry smooth-manifolds vector-bundles

Tangent bundles of exotic manifolds

differential-geometry differential-topology vector-bundles

Is the canonical $(n-1)$-plane bundle over the deleted total space of an orientable $n$-plane bundle orientable?

algebraic-topology vector-bundles characteristic-classes

Atiyah K-theory

algebraic-topology vector-bundles topological-k-theory

Almost A Vector Bundle

differential-geometry examples-counterexamples vector-bundles

Is paralellizability a topological invariant (Invariant under homemorphism)

general-topology manifolds vector-bundles topological-k-theory

Tensor Product of Vector Bundles

vector-bundles

How to calculate the Euler class, Euler characteristic and top Chern class of $End(E)$?

algebraic-geometry vector-bundles intersection-theory characteristic-classes

Splitting of the tangent bundle of a vector bundle and connections

differential-geometry vector-bundles exact-sequence connections

Are vector bundles given by their monodromy?

vector-bundles curvature

Dual of a holomorphic vector bundle

vector-bundles holomorphic-bundles

How to prove that a vector bundle is trivial iff there are n global sections that form a basis on each fiber?

differential-geometry manifolds vector-bundles

Relating the normal bundle and trivial bundles of $S^n$ to the tautological and trivial line bundles of $\mathbb{R}P^n$

algebraic-topology vector-bundles

Comparing notions of degree of vector bundle

algebraic-geometry algebraic-topology vector-bundles holomorphic-bundles

Why aren't complex vector bundles isomorphic to their duals?

vector-bundles