New posts in principal-bundles

Sections of associated bundles

differential-geometry manifolds lie-groups principal-bundles

Intuition of Chern-Weil theory

differential-geometry algebraic-topology characteristic-classes principal-bundles

Is the $G$-action on a principal $G$-bundle proper?

differential-topology lie-groups principal-bundles

Flat non-trivial $U(1)$-bundle? Is it possible?

differential-geometry algebraic-topology principal-bundles holonomy

Classify sphere bundles over a sphere

algebraic-topology differential-topology fiber-bundles principal-bundles

Why base point makes a huge difference?

algebraic-topology principal-bundles

What the curvature $2$-form really represents?

differential-geometry intuition curvature fiber-bundles principal-bundles

Principal Bundle and Cocycle

differential-geometry category-theory homology-cohomology principal-bundles

Flat connection with non-trivial holonomy? I cannot get it

differential-geometry principal-bundles holonomy

$\mathbb{R}$-bundle

differential-geometry principal-bundles

Quotient by the action of a group commuting with sequential colimits

algebraic-topology limits-colimits principal-bundles classifying-spaces

If there exists a global section then the principal bundle is trivial - problem with smoothness

differential-geometry fiber-bundles principal-bundles

Connections on principal bundles and vector bundles

differential-geometry vector-bundles principal-bundles connections

Question about gauge transformation

differential-geometry principal-bundles gauge-theory

Texts on Principal Bundles, Characteristic Classes, Intro to 4-manifolds / Gauge Theory

reference-request differential-geometry differential-topology principal-bundles gauge-theory

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

differential-geometry vector-bundles principal-bundles

$M \times N$ orientable if and only if $M, N$ orientable [duplicate]

general-topology algebraic-topology manifolds principal-bundles

${\Bbb Z}/3{\Bbb Z}$-torsors over $S^1$.

group-theory algebraic-topology principal-bundles

Does curvature zero mean the bundle is trivial?

differential-geometry algebraic-topology fiber-bundles principal-bundles

Principal $G$-bundles in Zariski vs étale topology

algebraic-geometry principal-bundles zariski-topology