New posts in vector-bundles

Why are 'differential operators on manifolds' differential operators?

Pullbacks and isomorphisms of vector bundles

Connections on principal bundles and vector bundles

Is there a characterization of injective $C(X)$-modules analogous to Serre-Swan?

An unclear sentence in the book "Griffiths, Harris-Principles of algebraic geometry"

Diffeomorphism between $SO(3)$ and $STS^2$ [duplicate]

Confusion about Positive Curvature in Holomorphic Bundles.

Ways to think about vector bundle

Hamiltonian for Geodesic Flow

Conditions such that taking global sections of line bundles commutes with tensor product?

Vector Bundle Locally Free Sheaf

Rank and smooth section of a tautological vector bundle on $\mathbb{C}P^{1}$

Reality check: $\mathcal{O}_{\mathbb{P}_\mathbb{R}^1}(1)$ and $\mathcal{O}_{\mathbb{P}_\mathbb{R}^1}(-1)$ are both Möbius strips?

How to handle the differential of a vector field, ${\rm d}X:TM\to TTM$, in terms of (equivalence classes of) curves?

Tangent bundle of a quotient by a proper action

Second Stiefel-Whitney Class of a 3 Manifold

Reduction of a structure group.

What is the line bundle $\mathcal{O}_{X}(k)$ intuitively?

Exterior power of a tensor product

Vector bundle as locally free coherent sheaves