Question

Vector bundle on surface topologically characterized by rank and degree

score 211 · Answer 1 · 2026-03-29 18:30:27

211

Views

Vector bundle on surface topologically characterized by rank and degree

Published on 29 Mar 2026 - 18:30

score 42 · Answer 2 · 2023-06-16 06:34:42

42

Views

Smooth section of smooth vector bundle is generalization of graph of smooth map between two smooth manifolds.

Published on 16 Jun 2023 - 6:34

score 26 · Answer 3 · 2026-03-28 08:35:37

26

Views

Showing $\text{fimm}(M,N)\to \text{Map}(M,N)$ is a fibration

Published on 28 Mar 2026 - 8:35

score 145 · Answer 4 · 2023-06-20 07:28:20

145

Views

Integration Along the Fibre Defines a global $k-n$ form

Published on 20 Jun 2023 - 7:28

score 47 · Answer 5 · 2026-03-25 17:44:40

47

Views

Show that any non-trivial homogeneous polynomial $s$ of degree $k$ can be considered as a non-trivial section of $\mathcal{O}(k)$ on $\mathbb{P}^n$.

Published on 25 Mar 2026 - 17:44

score 60 · Answer 6 · 2023-06-23 10:23:27

60

Views

Does the normal bundle embeds in the tangent bundle.

Published on 23 Jun 2023 - 10:23

score 96 · Answer 7 · 2026-03-25 23:36:45

96

Views

Short exact sequence of vector bundles over $\mathbb{P}^1_k$.

Published on 25 Mar 2026 - 23:36

score 121 · Answer 8 · 2026-03-25 12:39:52

121

Views

Reduced real connective K theory of a point

Published on 25 Mar 2026 - 12:39

score 45 · Answer 9 · 2023-06-24 10:59:10

45

Views

Can a bundle isomorphism be extended by 0 to a homomorphism on a larger vector bundle?

Published on 24 Jun 2023 - 10:59

score 79 · Answer 10 · 2023-06-27 08:25:58

79

Views

Local trivializations of the canonical line bundle $E \to \mathbb{R}P^n$

Published on 27 Jun 2023 - 8:25

score 94 · Answer 11 · 2026-03-28 10:54:11

94

Views

Universal extension using relative Ext sheaf

Published on 28 Mar 2026 - 10:54

score 49 · Answer 12 · 2026-03-25 14:19:10

49

Views

Reference for Zariski Main Theorem

Published on 25 Mar 2026 - 14:19

score 95 · Answer 13 · 2026-03-25 17:19:46

95

Views

On Bishop's 'Tensor Analysis on Manifolds' Problem 6.3.3 (canonical lift into double tangent bundle ends up in secondary bundle structure)

Published on 25 Mar 2026 - 17:19

score 58 · Answer 14 · 2026-03-26 06:28:30

58

Views

Classifying Vector Bundles arising from Induced Representations and Connections on those bundles

Published on 26 Mar 2026 - 6:28

score 54 · Answer 15 · 2026-03-26 06:33:56

54

Views

Definition of Spin structure?

Published on 26 Mar 2026 - 6:33

List Question

Vector bundle on surface topologically characterized by rank and degree

Smooth section of smooth vector bundle is generalization of graph of smooth map between two smooth manifolds.

Showing $\text{fimm}(M,N)\to \text{Map}(M,N)$ is a fibration

Integration Along the Fibre Defines a global $k-n$ form

Show that any non-trivial homogeneous polynomial $s$ of degree $k$ can be considered as a non-trivial section of $\mathcal{O}(k)$ on $\mathbb{P}^n$.

Does the normal bundle embeds in the tangent bundle.

Short exact sequence of vector bundles over $\mathbb{P}^1_k$.

Reduced real connective K theory of a point

Can a bundle isomorphism be extended by 0 to a homomorphism on a larger vector bundle?

Local trivializations of the canonical line bundle $E \to \mathbb{R}P^n$

Universal extension using relative Ext sheaf

Reference for Zariski Main Theorem

On Bishop's 'Tensor Analysis on Manifolds' Problem 6.3.3 (canonical lift into double tangent bundle ends up in secondary bundle structure)

Classifying Vector Bundles arising from Induced Representations and Connections on those bundles

Definition of Spin structure?

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