List questions from principal-bundles

Published on 17 Nov 2023 - 9:59

117

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A question related to frame bundle of a vector bundle

Published on 27 Nov 2023 - 2:04

270

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Why does the bar construction model the classifying space in both topology and AG?

Published on 25 Mar 2026 - 16:01

55

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Valid interpretation of Higher order frame bundles and their jet groups?

Published on 23 Feb 2026 - 4:39

135

Views

Understanding Associated Frame bundle terminology $u e_i = e_j^i X_j$

Published on 29 Dec 2023 - 2:14

227

Views

Induced connection 1-form on orthogonal frame bundle by the Levi-Civita connection on tangent bundle

Published on 07 Jan 2024 - 7:37

28

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Exponentiate additive transition functions for $\mathbb{A}^1$-bundles.

Published on 08 Jan 2024 - 6:42

166

Views

Explicit formula for the principal connection 1-form induced by a Cartan connection

Published on 23 Feb 2026 - 1:05

32

Views

Finding the group bundle associated to a $\mathbb{Z}[\pi_1]$ module

Published on 09 Jan 2024 - 8:47

55

Views

Are principal fibrations the same as group bundles?

Published on 11 Jan 2024 - 9:44

36

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Does the monodromy action of a fiber bundle lie in the bundle's structure group?

Published on 16 Mar 2026 - 19:46

64

Views

3-connection on nontrivial 3-manifold

Published on 25 Mar 2026 - 16:09

38

Views

Principal G-bundle induces a homeomorphism between orbit space and base

Published on 18 Jan 2024 - 5:49

89

Views

Equating two definitions of principal fiber bundles

Published on 25 Mar 2026 - 16:08

105

Views

Vanishing of connection matrices for flat principal $G$-bundle

Published on 25 Mar 2026 - 16:12

List Question

Doubts on definition of spin structure

A question related to frame bundle of a vector bundle

Why does the bar construction model the classifying space in both topology and AG?

Valid interpretation of Higher order frame bundles and their jet groups?

Understanding Associated Frame bundle terminology $u e_i = e_j^i X_j$

Induced connection 1-form on orthogonal frame bundle by the Levi-Civita connection on tangent bundle

Exponentiate additive transition functions for $\mathbb{A}^1$-bundles.

Explicit formula for the principal connection 1-form induced by a Cartan connection

Finding the group bundle associated to a $\mathbb{Z}[\pi_1]$ module

Are principal fibrations the same as group bundles?

Does the monodromy action of a fiber bundle lie in the bundle's structure group?

3-connection on nontrivial 3-manifold

Principal G-bundle induces a homeomorphism between orbit space and base

Equating two definitions of principal fiber bundles

Vanishing of connection matrices for flat principal $G$-bundle

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