Question

Identification of obstructions arising from extending isomorphism between two $U(2)$-bundles over $X$

score 121 · Answer 1 · 2026-03-20 12:46:56

121

Views

Identification of obstructions arising from extending isomorphism between two $U(2)$-bundles over $X$

Published on 20 Mar 2026 - 12:46

score 66 · Answer 2 · 2026-03-23 02:23:05

66

Views

Extending map into tangent bundle

Published on 23 Mar 2026 - 2:23

score 201 · Answer 3 · 2026-03-23 07:01:01

201

Views

When the primary obstruction is the only obstruction, is it still the only obstruction after a pull-back?

Published on 23 Mar 2026 - 7:01

score 265 · Answer 4 · 2026-03-23 00:11:33

265

Views

Doubts on obstruction theory (Hatcher's book)

Published on 23 Mar 2026 - 0:11

score 74 · Answer 5 · 2026-03-22 22:09:23

74

Views

Lifting problem of a map $g:M\to B^2\mathbb{Z}_n$ to $f:M\to BPSU(n)$

Published on 22 Mar 2026 - 22:09

score 1.2k · Answer 6 · 2026-03-23 12:36:02

1.2k

Views

Euler class as obstruction to have a never vanishing cross section

Published on 23 Mar 2026 - 12:36

score 196 · Answer 7 · 2026-03-22 08:13:59

196

Views

Is a principal $\mathbb{Z}_2\ltimes PSU(4)$-bundle over a 3-manifold $M$ equivalent to an element in $H^1(M,\mathbb{Z}_2)\times H^2(M,\mathbb{Z}_4)$?

Published on 22 Mar 2026 - 8:13

score 267 · Answer 8 · 2026-03-22 18:43:31

267

Views

Is this inclusion a cofibration?

Published on 22 Mar 2026 - 18:43

score 691 · Answer 9 · 2026-03-23 08:51:38

691

Views

Classification of circle bundles over $\mathbb{RP}^2$

Published on 23 Mar 2026 - 8:51

score 850 · Answer 10 · 2026-03-22 22:53:26

850

Views

Basic obstruction theory : where does the obstruction to uniqueness of lifting lie?

Published on 22 Mar 2026 - 22:53

score 156 · Answer 11 · 2026-03-22 18:50:57

156

Views

Recommended textbooks for Hamiltonian group actions?

Published on 22 Mar 2026 - 18:50

score 118 · Answer 12 · 2026-03-17 04:24:32

118

Views

Manifolds with non-vanishing vector field and vast homology

Published on 17 Mar 2026 - 4:24

score 337 · Answer 13 · 2026-03-25 04:09:09

337

Views

When does a continuous map $f:X\rightarrow \mathbb{H}P^n$ lift to $S^{4n+3}$?

Published on 25 Mar 2026 - 4:09

score 32 · Answer 14 · 2026-03-22 16:08:12

32

Views

Topological obstruction to time-reversal symmetry

Published on 22 Mar 2026 - 16:08

score 189 · Answer 15 · 2026-03-21 17:23:11

189

Views

Cohomology with local coefficients and obstruction theory

Published on 21 Mar 2026 - 17:23

List Question

Identification of obstructions arising from extending isomorphism between two $U(2)$-bundles over $X$

Extending map into tangent bundle

When the primary obstruction is the only obstruction, is it still the only obstruction after a pull-back?

Doubts on obstruction theory (Hatcher's book)

Lifting problem of a map $g:M\to B^2\mathbb{Z}_n$ to $f:M\to BPSU(n)$

Euler class as obstruction to have a never vanishing cross section

Is a principal $\mathbb{Z}_2\ltimes PSU(4)$-bundle over a 3-manifold $M$ equivalent to an element in $H^1(M,\mathbb{Z}_2)\times H^2(M,\mathbb{Z}_4)$?

Is this inclusion a cofibration?

Classification of circle bundles over $\mathbb{RP}^2$

Basic obstruction theory : where does the obstruction to uniqueness of lifting lie?

Recommended textbooks for Hamiltonian group actions?

Manifolds with non-vanishing vector field and vast homology

When does a continuous map $f:X\rightarrow \mathbb{H}P^n$ lift to $S^{4n+3}$?

Topological obstruction to time-reversal symmetry

Cohomology with local coefficients and obstruction theory

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