Question

$\gamma_n^1 \otimes \gamma_n^1$ is isomorphic to the trivial line bundle over $\mathbb{RP}^1$

score 323 · Answer 1 · 2018-10-27 09:03:52

323

Views

$\gamma_n^1 \otimes \gamma_n^1$ is isomorphic to the trivial line bundle over $\mathbb{RP}^1$

Published on 27 Oct 2018 - 9:03

score 354 · Answer 2 · 2018-10-28 12:26:58

354

Views

Covariant derivative on the dual bundle

Published on 28 Oct 2018 - 12:26

score 854 · Answer 3 · 2018-10-28 19:25:20

854

Views

How to show if there exists a global frame for a vector bundle, then the vector bundle is trivial.

Published on 28 Oct 2018 - 19:25

score 120 · Answer 4 · 2018-10-29 22:32:23

120

Views

Definition of morphism between flat bundles

Published on 29 Oct 2018 - 22:32

score 101 · Answer 5 · 2018-10-31 19:00:07

101

Views

Why is there no guarantee that a linear combination of generic nondegenerate bilinear forms is still non degenerate?

Published on 31 Oct 2018 - 19:00

score 694 · Answer 6 · 2018-11-01 01:08:24

694

Views

Geometric intuition of vector bundles

Published on 01 Nov 2018 - 1:08

score 177 · Answer 7 · 2018-11-01 16:50:12

177

Views

Existence of isomorphism from the complex vector bundle to the dual

Published on 01 Nov 2018 - 16:50

score 291 · Answer 8 · 2018-11-01 17:18:19

291

Views

Why is not every vectorbundle trivial and we only need local trivialization?

Published on 01 Nov 2018 - 17:18

score 405 · Answer 9 · 2026-03-25 02:24:11

405

Views

The tangent bundle of a foliation is in fact a vector bundle

Published on 25 Mar 2026 - 2:24

score 97 · Answer 10 · 2026-03-25 06:06:27

97

Views

The cokernel of $H^0(\hat{X},\sigma^*L^k)\to H^0(E,\mathcal{O}_E)\otimes L^k(x)$

Published on 25 Mar 2026 - 6:06

score 299 · Answer 11 · 2026-03-25 01:17:26

299

Views

Section of the Sheaf of Holomorphic Functions

Published on 25 Mar 2026 - 1:17

score 2.8k · Answer 12 · 2018-11-05 03:52:50

2.8k

Views

Prove the pullback bundle is a vector bundle

Published on 05 Nov 2018 - 3:52

score 149 · Answer 13 · 2018-11-05 04:02:27

149

Views

Prove check total space canonical bundle (vector bundle of projective space)

Published on 05 Nov 2018 - 4:02

score 64 · Answer 14 · 2018-11-05 21:02:23

64

Views

Computing transition function problem

Published on 05 Nov 2018 - 21:02

score 327 · Answer 15 · 2018-11-05 21:38:46

327

Views

How to show the local section of a vector bundle $E\to M$ is continuous?

Published on 05 Nov 2018 - 21:38

List Question

$\gamma_n^1 \otimes \gamma_n^1$ is isomorphic to the trivial line bundle over $\mathbb{RP}^1$

Covariant derivative on the dual bundle

How to show if there exists a global frame for a vector bundle, then the vector bundle is trivial.

Definition of morphism between flat bundles

Why is there no guarantee that a linear combination of generic nondegenerate bilinear forms is still non degenerate?

Geometric intuition of vector bundles

Existence of isomorphism from the complex vector bundle to the dual

Why is not every vectorbundle trivial and we only need local trivialization?

The tangent bundle of a foliation is in fact a vector bundle

The cokernel of $H^0(\hat{X},\sigma^*L^k)\to H^0(E,\mathcal{O}_E)\otimes L^k(x)$

Section of the Sheaf of Holomorphic Functions

Prove the pullback bundle is a vector bundle

Prove check total space canonical bundle (vector bundle of projective space)

Computing transition function problem

How to show the local section of a vector bundle $E\to M$ is continuous?

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