List questions from hopf-fibration

Published on 22 Sep 2017 - 1:19

439

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Hopf map by complex numbers

Published on 28 Sep 2017 - 6:01

43

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$\mathbb{S}^1$-action and octonionic multiplication can be associated

Published on 13 Oct 2017 - 21:00

551

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Prove that $\pi:S^3\rightarrow \mathbb{P}^1(\mathbb{C})\cong S^2$ is a submersion

Published on 04 Dec 2017 - 10:03

254

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Understanding terminology of, fibers, clutchings and Hopf.

Published on 14 Dec 2017 - 15:51

2k

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Understanding the Hopf fibration

Published on 09 Feb 2012 - 16:25

11.8k

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What are all these "visualizations" of the 3-sphere?

Published on 21 May 2012 - 1:03

77

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Strategy for proving a set is the fiber of a (possible) fiber bundle $p: E\to B$

Published on 11 Aug 2020 - 3:24

184

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'polar' forms of quaternions

Published on 22 Aug 2020 - 10:47

154

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A spinorial generalization of the Hopf map

Published on 02 Sep 2020 - 13:21

677

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Why is $\pi_7(\mathbb S^4)=\mathbb Z \oplus \mathbb Z_{12}$?

Published on 10 Sep 2020 - 20:19

176

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Hopf fibration. Checking local triviality.

Published on 12 Oct 2020 - 17:10

850

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Relating hyperspherical and Hopf coordinates for the unit three sphere

Published on 05 Dec 2020 - 10:57

285

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Geometrically seeing the linking of the fibres in the Hopf fibration?

Published on 24 Jan 2021 - 21:04

134

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Distance in Hopf coordinates

Published on 27 Mar 2021 - 13:30

List Question

Stereographic projection of Hopf map

Hopf map by complex numbers

$\mathbb{S}^1$-action and octonionic multiplication can be associated

Prove that $\pi:S^3\rightarrow \mathbb{P}^1(\mathbb{C})\cong S^2$ is a submersion

Understanding terminology of, fibers, clutchings and Hopf.

Understanding the Hopf fibration

What are all these "visualizations" of the 3-sphere?

Strategy for proving a set is the fiber of a (possible) fiber bundle $p: E\to B$

'polar' forms of quaternions

A spinorial generalization of the Hopf map

Why is $\pi_7(\mathbb S^4)=\mathbb Z \oplus \mathbb Z_{12}$?

Hopf fibration. Checking local triviality.

Relating hyperspherical and Hopf coordinates for the unit three sphere

Geometrically seeing the linking of the fibres in the Hopf fibration?

Distance in Hopf coordinates

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