List questions from principal-bundles

Published on 11 Jun 2021 - 7:12

41

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Connection one form and well-definedness of everything

Published on 13 Jun 2021 - 12:07

56

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Proof check: a riemannian 2-manifold is orientable if its unit tagent bundle is principal

Published on 28 Mar 2026 - 1:06

125

Views

Poincaré bundle, a way of understanding it.

Published on 19 Jun 2021 - 21:55

100

Views

Computing the automorphism group of a $G$-bundle on a connected manifold for a finite group $G.$

Published on 26 Mar 2026 - 7:38

157

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Principal bundles on formal disc and lifting problem

Published on 23 Jun 2021 - 7:47

588

Views

$U(1)$ principal bundle over $\mathbb{S}^1$

Published on 24 Jun 2021 - 2:07

85

Views

Smooth homotopy lifting property for principal bundle

Published on 26 Mar 2026 - 9:48

87

Views

Associated coverings of a right $G$-principal covering in tom Dieck's "Algebraic Topology"

Published on 01 Jul 2021 - 11:27

428

Views

Covariant derivative on principal bundle

Published on 01 Jul 2021 - 18:29

70

Views

Are loop space bundles fibrewise equivalent to principal bundles?

Published on 26 Mar 2026 - 7:58

218

Views

Can we get a soldering "form" whose pull-backs encode arbitrary tensor components?

Published on 16 Jul 2021 - 1:22

306

Views

Wedge products of V-valued forms.

Published on 20 Jul 2021 - 11:12

52

Views

Definition of connection 1-forms - when we write $A(X^\#)=X$, is $A(X^\#)$ meant to be constant?

Published on 26 Mar 2026 - 13:01

85

Views

Given a connection on a principal bundle, two definitions of covariant derivatives on an associated vector bundle

Published on 28 Jul 2021 - 4:43

List Question

Constructing a connection $1$-form from local forms.

Connection one form and well-definedness of everything

Proof check: a riemannian 2-manifold is orientable if its unit tagent bundle is principal

Poincaré bundle, a way of understanding it.

Computing the automorphism group of a $G$-bundle on a connected manifold for a finite group $G.$

Principal bundles on formal disc and lifting problem

$U(1)$ principal bundle over $\mathbb{S}^1$

Smooth homotopy lifting property for principal bundle

Associated coverings of a right $G$-principal covering in tom Dieck's "Algebraic Topology"

Covariant derivative on principal bundle

Are loop space bundles fibrewise equivalent to principal bundles?

Can we get a soldering "form" whose pull-backs encode arbitrary tensor components?

Wedge products of V-valued forms.

Definition of connection 1-forms - when we write $A(X^\#)=X$, is $A(X^\#)$ meant to be constant?

Given a connection on a principal bundle, two definitions of covariant derivatives on an associated vector bundle

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