List questions from fiber-bundles

Published on 25 Mar 2026 - 16:08

35

Views

How to find the cocycle and sections of the covering $\pi:S^{1}\rightarrow S^{1}$ such that $\pi(z)=z^{2}$ with $F=\mathbb{Z}_{2}$

Published on 19 Jan 2024 - 14:09

90

Views

Flat Maurer-Cartan connection iff flat Berry connection

Published on 27 Mar 2026 - 19:32

46

Views

Requirements for trivial fiber bundles

Published on 24 Jan 2024 - 4:18

154

Views

How can de Rham cohomology find obstructions?

Published on 27 Mar 2026 - 6:17

70

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$\pi$ is a fiber bundle over $B$... Difficulty interpreting some Wikipedia definitions

Published on 02 Feb 2024 - 17:05

31

Views

Are function spaces over a shrinking set vector bundles?

Published on 25 Mar 2026 - 12:52

96

Views

"Open" Cell? (Hatcher and Husemoller)

Published on 27 Mar 2026 - 1:44

40

Views

Gysin sequence from Serre spectral sequence vs Thom isomrophism

Published on 26 Mar 2026 - 4:52

58

Views

Discrete cocycle datum of a principal $G$-bundle

Published on 11 Feb 2024 - 0:39

44

Views

If Chern classes are only defined for vector bundles, why can a $U(1)$ principal bundle have associated Chern classes?

Published on 26 Mar 2026 - 17:31

36

Views

B-Isomorphic? (Husemoller, Fiber Bundles). Illustrated diagrams included.

Published on 15 Feb 2024 - 13:57

56

Views

Right G-Space (Husemoller, Fiber Bundles)

Published on 17 Feb 2024 - 17:19

36

Views

Dual bundle transition functions

Published on 23 Feb 2024 - 23:34

84

Views

Determinant of endomorphism bundle

Published on 24 Feb 2024 - 1:54

List Question

Equating two definitions of principal fiber bundles

How to find the cocycle and sections of the covering $\pi:S^{1}\rightarrow S^{1}$ such that $\pi(z)=z^{2}$ with $F=\mathbb{Z}_{2}$

Flat Maurer-Cartan connection iff flat Berry connection

Requirements for trivial fiber bundles

How can de Rham cohomology find obstructions?

$\pi$ is a fiber bundle over $B$... Difficulty interpreting some Wikipedia definitions

Are function spaces over a shrinking set vector bundles?

"Open" Cell? (Hatcher and Husemoller)

Gysin sequence from Serre spectral sequence vs Thom isomrophism

Discrete cocycle datum of a principal $G$-bundle

If Chern classes are only defined for vector bundles, why can a $U(1)$ principal bundle have associated Chern classes?

B-Isomorphic? (Husemoller, Fiber Bundles). Illustrated diagrams included.

Right G-Space (Husemoller, Fiber Bundles)

Dual bundle transition functions

Determinant of endomorphism bundle

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