List questions from principal-bundles

Published on 24 Jan 2014 - 17:23

1.5k

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When does the difference between a vector bundle and the associated frame bundle matter?

Published on 27 Jan 2014 - 15:17

1k

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Every principal bundle over $\mathbb{R}^n$ is trivial

Published on 07 Feb 2014 - 9:49

357

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If a connection on a principal $G$-bundle restricts to an $H$-subbundle, must its holonomy lie in $H$?

Published on 26 Mar 2026 - 2:45

89

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Connection form on $G$-bundle through gauge potential

Published on 26 Mar 2026 - 1:07

64

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Is it true that $\mathbb{R}^2 \backslash \{ (0,0) \}/SO(2) = (0,+\infty)$?

Published on 14 Apr 2017 - 13:19

152

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How can I take a cohomology class in $H^1(X;U(1))$ using a long exact sequence and get Cech gluing data?

Published on 24 Apr 2017 - 3:19

690

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Classifying space of semi-direct product of Lie groups

Published on 25 Apr 2017 - 3:10

1.6k

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Definition of the associated bundle

Published on 26 Apr 2017 - 23:41

40

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Largest elementary neighbourhood

Published on 25 Mar 2026 - 12:42

84

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2 out of 3 lemma for spin^c vector bundles

Published on 16 May 2017 - 23:42

75

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Is there a notation for the group of dilations, as related to the conformal group?

Published on 22 May 2017 - 21:46

559

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Vertical and horizontal subspace , simple and concrete example.

Published on 26 May 2017 - 22:18

279

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Conctracted product of torsors

Published on 01 Jun 2017 - 15:34

86

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TQFT and Principle G-Bundles

Published on 25 Mar 2026 - 22:10

List Question

Difference between various type of bundles having a group as fibre

When does the difference between a vector bundle and the associated frame bundle matter?

Every principal bundle over $\mathbb{R}^n$ is trivial

If a connection on a principal $G$-bundle restricts to an $H$-subbundle, must its holonomy lie in $H$?

Connection form on $G$-bundle through gauge potential

Is it true that $\mathbb{R}^2 \backslash \{ (0,0) \}/SO(2) = (0,+\infty)$?

How can I take a cohomology class in $H^1(X;U(1))$ using a long exact sequence and get Cech gluing data?

Classifying space of semi-direct product of Lie groups

Definition of the associated bundle

Largest elementary neighbourhood

2 out of 3 lemma for spin^c vector bundles

Is there a notation for the group of dilations, as related to the conformal group?

Vertical and horizontal subspace , simple and concrete example.

Conctracted product of torsors

TQFT and Principle G-Bundles

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