Question

Existence of principal G-bundle given an associated vector bundle

score 41 · Answer 1 · 2026-03-26 17:53:00

41

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Existence of principal G-bundle given an associated vector bundle

Published on 26 Mar 2026 - 17:53

score 99 · Answer 2 · 2026-03-26 17:52:43

99

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Euler class of a principal $SO(2)$-bundle over a lens space

Published on 26 Mar 2026 - 17:52

score 52 · Answer 3 · 2026-03-25 19:11:13

52

Views

Does the direct sum of two real line bundles admit a non-vanishing section?

Published on 25 Mar 2026 - 19:11

score 58 · Answer 4 · 2026-03-25 19:01:03

58

Views

Integral Stiefel-Whitney classes and stable almost complex structure

Published on 25 Mar 2026 - 19:01

score 52 · Answer 5 · 2024-03-16 15:35:19

52

Views

On a category of vector bundles. Does it look strange?

Published on 16 Mar 2024 - 15:35

score 55 · Answer 6 · 2026-03-25 19:12:06

55

Views

The tensor product of a line bundle with its dual $L\otimes L^*$ is isomorphic to the trivial line bundle

Published on 25 Mar 2026 - 19:12

score 65 · Answer 7 · 2024-03-20 17:45:52

65

Views

Calculating $\partial H_j\cdot H^{-1}_j$ where $H_j$ is the hermitian structure

Published on 20 Mar 2024 - 17:45

score 43 · Answer 8 · 2026-03-25 19:16:16

43

Views

Construction of a connection 1-form

Published on 25 Mar 2026 - 19:16

score 64 · Answer 9 · 2024-03-23 14:33:38

64

Views

Vector bundles and their extensions

Published on 23 Mar 2024 - 14:33

score 33 · Answer 10 · 2026-03-26 17:51:29

33

Views

Hodge decomposition on vector bundle-valued differential forms

Published on 26 Mar 2026 - 17:51

score 208 · Answer 11 · 2026-03-30 04:58:44

208

Views

Global sections of the line bundle $\mathcal{O}(k)$, Prop. 2.4.1 Huybrecht's $\mathbb{C}[z_0,\ldots,z_n]_k\cong H^0(\mathbb{P}^n,\mathcal{O}(k))$

Published on 30 Mar 2026 - 4:58

score 65 · Answer 12 · 2026-03-25 23:36:48

65

Views

Confusion about induced bundles, equivariant Vector bundles and representations

Published on 25 Mar 2026 - 23:36

score 95 · Answer 13 · 2024-03-26 17:50:30

95

Views

Prove that if a smooth manifold $M$ is contractible then every vector bundle over $M$ is trivial

Published on 26 Mar 2024 - 17:50

score 14 · Answer 14 · 2026-03-02 05:19:58

14

Views

Does a distribution uniquely determine a (the) submodule of vector fields which generates it?

Published on 02 Mar 2026 - 5:19

score 758 · Answer 15 · 2026-03-25 16:02:08

758

Views

Elements of the zero-th Čech cohomology group versus global holomorphic sections

Published on 25 Mar 2026 - 16:02

List Question

Existence of principal G-bundle given an associated vector bundle

Euler class of a principal $SO(2)$-bundle over a lens space

Does the direct sum of two real line bundles admit a non-vanishing section?

Integral Stiefel-Whitney classes and stable almost complex structure

On a category of vector bundles. Does it look strange?

The tensor product of a line bundle with its dual $L\otimes L^*$ is isomorphic to the trivial line bundle

Calculating $\partial H_j\cdot H^{-1}_j$ where $H_j$ is the hermitian structure

Construction of a connection 1-form

Vector bundles and their extensions

Hodge decomposition on vector bundle-valued differential forms

Global sections of the line bundle $\mathcal{O}(k)$, Prop. 2.4.1 Huybrecht's $\mathbb{C}[z_0,\ldots,z_n]_k\cong H^0(\mathbb{P}^n,\mathcal{O}(k))$

Confusion about induced bundles, equivariant Vector bundles and representations

Prove that if a smooth manifold $M$ is contractible then every vector bundle over $M$ is trivial

Does a distribution uniquely determine a (the) submodule of vector fields which generates it?

Elements of the zero-th Čech cohomology group versus global holomorphic sections

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