List questions from principal-bundles

Published on 18 Nov 2018 - 19:50

430

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Showing $GL_n$ is a special algebraic group

Published on 22 Mar 2026 - 15:13

196

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Is a principal $\mathbb{Z}_2\ltimes PSU(4)$-bundle over a 3-manifold $M$ equivalent to an element in $H^1(M,\mathbb{Z}_2)\times H^2(M,\mathbb{Z}_4)$?

Published on 22 Mar 2026 - 8:13

70

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Is there a group whose manifold is a fiber bundle with base is $S_1$ and fiber $\mathbb{Z_2}?$

Published on 05 Dec 2018 - 21:23

241

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Isotropy group of connection is isomorphic to centraliser of holonomy group

Published on 19 Dec 2018 - 12:01

570

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What does determinant bundle of a principal bundle say about the principal bundle

Published on 21 Dec 2018 - 8:52

184

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Connection/Curvature as a matrix of Real valued forms

Published on 23 Dec 2018 - 2:02

209

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Connection $1$-form acting on vector fields

Published on 23 Dec 2018 - 19:52

1.7k

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Different notions of torsors in algebraic geometry

Published on 12 Jan 2019 - 18:16

73

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$H$ is admissible, then $P\rightarrow P/H$ is a principle $H$ -bundle.

Published on 20 Jan 2019 - 15:34

134

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Reduced bundles and global sections of associated bundle

Published on 30 Jan 2019 - 9:25

91

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Question about a proposition in Kobayashi book about $G$-structures.

Published on 31 Jan 2019 - 20:28

505

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Doubt in the definition of principal bundle.

Published on 01 Feb 2019 - 2:51

180

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Natural bijection between equivariant maps and sections, Principal bundles

Published on 01 Feb 2019 - 4:34

560

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Does maps between fundamental groups induces a continuous map between spaces?

Published on 03 Feb 2019 - 4:52

List Question

Problem about frame bundle in Kobayashi's book

Showing $GL_n$ is a special algebraic group

Is a principal $\mathbb{Z}_2\ltimes PSU(4)$-bundle over a 3-manifold $M$ equivalent to an element in $H^1(M,\mathbb{Z}_2)\times H^2(M,\mathbb{Z}_4)$?

Is there a group whose manifold is a fiber bundle with base is $S_1$ and fiber $\mathbb{Z_2}?$

Isotropy group of connection is isomorphic to centraliser of holonomy group

What does determinant bundle of a principal bundle say about the principal bundle

Connection/Curvature as a matrix of Real valued forms

Connection $1$-form acting on vector fields

Different notions of torsors in algebraic geometry

$H$ is admissible, then $P\rightarrow P/H$ is a principle $H$ -bundle.

Reduced bundles and global sections of associated bundle

Question about a proposition in Kobayashi book about $G$-structures.

Doubt in the definition of principal bundle.

Natural bijection between equivariant maps and sections, Principal bundles

Does maps between fundamental groups induces a continuous map between spaces?

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