List questions from fiber-bundles

Published on 17 Sep 2013 - 22:39

384

Views

What's wrong with my argument to compute the vector bundles on $S^1$?

Published on 05 Oct 2013 - 0:45

767

Views

An obviously false proof that all line bundles are trivial.

Published on 09 Oct 2013 - 20:33

51

Views

Does the structure group of S^n homotopic to O(n+1)?

Published on 10 Oct 2013 - 1:53

450

Views

Definition of Gauge group

Published on 25 Mar 2026 - 23:36

847

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Local sections of Hopf fibration $(S^3,\pi,S^2)$

Published on 27 Mar 2026 - 10:10

1.2k

Views

How does a left group action on the fiber of a principal bundle induce a right action on the total space?

Published on 27 Mar 2026 - 11:48

1k

Views

Trivialisation of Möbius strip

Published on 25 Mar 2026 - 14:31

532

Views

What is the commutator of a horizontal and vector field for a connection on a Fiber bundle?

Published on 27 Mar 2026 - 13:25

233

Views

how to obtain a generalized Morse function out of a fiber bundle?

Published on 26 Mar 2026 - 14:25

500

Views

Determine the fibre bundle from the cocycle

Published on 07 Nov 2013 - 14:47

64

Views

Blowup of $\mathbb{P}^3$ along the ideal $(w^3 + x^3 + y^3 + z^3, w^4 + \alpha wxyz)$ for fixed $\alpha \in k$

Published on 26 Mar 2026 - 4:34

67

Views

$\mathbb{RP}^3 \rightarrow \mathbb{CP}^1$ defines a principal U(1)-bundle

Published on 27 Mar 2026 - 11:46

57

Views

Conditions for the number of degenerated fibers of a morphism to be finite.

Published on 28 Mar 2026 - 12:15

245

Views

Maps of $G$-bundles

Published on 27 Mar 2026 - 11:46

List Question

Local coefficient System and the action of fundamental group

What's wrong with my argument to compute the vector bundles on $S^1$?

An obviously false proof that all line bundles are trivial.

Does the structure group of S^n homotopic to O(n+1)?

Definition of Gauge group

Local sections of Hopf fibration $(S^3,\pi,S^2)$

How does a left group action on the fiber of a principal bundle induce a right action on the total space?

Trivialisation of Möbius strip

What is the commutator of a horizontal and vector field for a connection on a Fiber bundle?

how to obtain a generalized Morse function out of a fiber bundle?

Determine the fibre bundle from the cocycle

Blowup of $\mathbb{P}^3$ along the ideal $(w^3 + x^3 + y^3 + z^3, w^4 + \alpha wxyz)$ for fixed $\alpha \in k$

$\mathbb{RP}^3 \rightarrow \mathbb{CP}^1$ defines a principal U(1)-bundle

Conditions for the number of degenerated fibers of a morphism to be finite.

Maps of $G$-bundles

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