Question

chern character domain and codomain

score 52 · Answer 1 · 2026-03-25 12:42:44

52

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chern character domain and codomain

Published on 25 Mar 2026 - 12:42

score 376 · Answer 2 · 2026-03-25 04:57:32

376

Views

Foliations of spheres

Published on 25 Mar 2026 - 4:57

score 910 · Answer 3 · 2026-03-27 11:43:39

910

Views

sphere bundles isomorphic to vector bundle.

Published on 27 Mar 2026 - 11:43

score 594 · Answer 4 · 2026-03-26 14:42:14

594

Views

Is it possible to find a complex vector bundle on $S^2$ with nonzero first Chern class, which is trivial as a real vector bundle?

Published on 26 Mar 2026 - 14:42

score 320 · Answer 5 · 2017-03-31 22:45:37

320

Views

Stable sub-bundle of a polystable Vector bundle.

Published on 31 Mar 2017 - 22:45

score 81 · Answer 6 · 2026-03-26 11:18:25

81

Views

Group of line bundles with $\otimes$ isomorphic to $H^1(B,\mathbb{Z}_2)$

Published on 26 Mar 2026 - 11:18

score 470 · Answer 7 · 2026-03-25 15:47:26

470

Views

Universal bundle over $\mathbb P^{n}$ and direct sum of bundles

Published on 25 Mar 2026 - 15:47

score 31 · Answer 8 · 2017-04-02 00:24:04

31

Views

Clarifications in the definition of (real) Tautological Bundle

Published on 02 Apr 2017 - 0:24

score 169 · Answer 9 · 2017-04-03 02:33:36

169

Views

How to find local trivializations and transition functions for the total space

Published on 03 Apr 2017 - 2:33

score 53 · Answer 10 · 2017-04-08 13:49:14

53

Views

If $\nabla,\nabla'$ are connections on a vector bundle $E$, then $\nabla-\nabla'\in\mathcal A^1(\operatorname{End}E)$: trouble with proof

Published on 08 Apr 2017 - 13:49

score 485 · Answer 11 · 2017-04-08 15:12:36

485

Views

Simple question about the tautological line bundle $\mathcal O_P(1)$

Published on 08 Apr 2017 - 15:12

score 70 · Answer 12 · 2026-03-27 02:03:11

70

Views

Proving $dh(\nabla s,t)=h(F_\nabla s,t)-h(\nabla s,\nabla t)$: what am I doing wrong?

Published on 27 Mar 2026 - 2:03

score 676 · Answer 13 · 2026-03-27 02:08:25

676

Views

Double covariant derivative in coordinates: Why does this work?

Published on 27 Mar 2026 - 2:08

score 215 · Answer 14 · 2026-03-25 15:42:14

215

Views

A (maybe) trivial question on trivial vector bundles: alternative definition of trivial vector bundle

Published on 25 Mar 2026 - 15:42

score 81 · Answer 15 · 2026-03-25 14:29:58

81

Views

A connected compact manifold has a unique orientable line bundle on it

Published on 25 Mar 2026 - 14:29

List Question

chern character domain and codomain

Foliations of spheres

sphere bundles isomorphic to vector bundle.

Is it possible to find a complex vector bundle on $S^2$ with nonzero first Chern class, which is trivial as a real vector bundle?

Stable sub-bundle of a polystable Vector bundle.

Group of line bundles with $\otimes$ isomorphic to $H^1(B,\mathbb{Z}_2)$

Universal bundle over $\mathbb P^{n}$ and direct sum of bundles

Clarifications in the definition of (real) Tautological Bundle

How to find local trivializations and transition functions for the total space

If $\nabla,\nabla'$ are connections on a vector bundle $E$, then $\nabla-\nabla'\in\mathcal A^1(\operatorname{End}E)$: trouble with proof

Simple question about the tautological line bundle $\mathcal O_P(1)$

Proving $dh(\nabla s,t)=h(F_\nabla s,t)-h(\nabla s,\nabla t)$: what am I doing wrong?

Double covariant derivative in coordinates: Why does this work?

A (maybe) trivial question on trivial vector bundles: alternative definition of trivial vector bundle

A connected compact manifold has a unique orientable line bundle on it

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