List questions from fiber-bundles

Published on 22 Mar 2026 - 2:56

560

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On ${\mathbb{P}}_1({\mathbb{C}})$: Classifying the principle SO(3) bundle, constructed from tautological line bundles $L_{\mathbb{C}}$

Published on 22 Mar 2026 - 20:37

92

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On ${\mathbb{P}}_2({\mathbb{R}})$: Classifying the principle SO(3) bundle, constructed from line bundles $L_{\mathbb{R}}$

Published on 10 Jul 2018 - 15:10

62

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Connecting homomorphism and fibre transfer

Published on 25 Mar 2026 - 6:19

115

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$w_3(G)$ of a principal $G$ bundle over some 4-manifold $X_4$

Published on 12 Jul 2018 - 7:10

1.2k

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Whitney sum formula and Euler class

Published on 25 Mar 2026 - 7:39

28

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Fiber subbundel of compact subspaces

Published on 14 Jul 2018 - 22:27

59

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Why is the interpolation between two connections related via a gauge transformation still a connection?

Published on 25 Mar 2026 - 6:12

358

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If $H\leq G$, then $BH \to BG$ is a fiber bundle with fiber $G/H$

Published on 20 Mar 2026 - 0:02

759

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Criteria of a trivial G bundle of a 3-manifold

Published on 19 Jul 2018 - 2:26

186

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Nontrivial U(1) bundles of a 3-manifold

Published on 22 Jul 2018 - 0:54

783

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Pontryagin class $p_1$ on (non-)spin manifolds

Published on 23 Mar 2026 - 9:17

1k

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Universal Bundle --- Understand the basic definition

Published on 25 Mar 2026 - 1:40

87

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A new gauge field [Cech 1-cocycle] acts a symmetry by multiplying itself to transition functions

Published on 25 Mar 2026 - 6:12

148

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Atiyah-Hitchin-Singer on real algebraic bundles on $P_3(C)$

Published on 26 Jul 2018 - 3:52

List Question

Characteristic classes detect $\mathbb{CP}^1$ and $\mathbb{CP}^2$

On ${\mathbb{P}}_1({\mathbb{C}})$: Classifying the principle SO(3) bundle, constructed from tautological line bundles $L_{\mathbb{C}}$

On ${\mathbb{P}}_2({\mathbb{R}})$: Classifying the principle SO(3) bundle, constructed from line bundles $L_{\mathbb{R}}$

Connecting homomorphism and fibre transfer

$w_3(G)$ of a principal $G$ bundle over some 4-manifold $X_4$

Whitney sum formula and Euler class

Fiber subbundel of compact subspaces

Why is the interpolation between two connections related via a gauge transformation still a connection?

If $H\leq G$, then $BH \to BG$ is a fiber bundle with fiber $G/H$

Criteria of a trivial G bundle of a 3-manifold

Nontrivial U(1) bundles of a 3-manifold

Pontryagin class $p_1$ on (non-)spin manifolds

Universal Bundle --- Understand the basic definition

A new gauge field [Cech 1-cocycle] acts a symmetry by multiplying itself to transition functions

Atiyah-Hitchin-Singer on real algebraic bundles on $P_3(C)$

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