List questions from characteristic-classes

Published on 25 Mar 2026 - 12:54

196

Views

Second Chern class $c_2$ of $SU(n)$ bundle over $S^4$ v.s. $\pi_3(SU(n))=\mathbb{Z}$

Published on 25 Mar 2026 - 12:54

272

Views

calculating Euler classes

Published on 12 Feb 2023 - 0:44

84

Views

Pullback of Stiefel-Whitney class along vector bundle map

Published on 10 Mar 2023 - 10:05

230

Views

Lens space $L^k(n) \equiv S^{2k-1}/\mathbb{Z}_n$: Stiefel-Whitney class and non/spin manifold

Published on 25 Mar 2026 - 14:36

112

Views

Classify $U(1)$ bundle over $\mathbf{P}^3$, and its topological invariants

Published on 17 Mar 2023 - 20:13

69

Views

How to tell the tangent bundle of $S^2$ from the bundle $S^2\times$ $y-z$ plane?

Published on 20 Mar 2023 - 10:05

134

Views

Does the first Chern class generate $H^2(P_n\mathbb{C};\mathbb{Z})$?

Published on 25 Mar 2026 - 14:29

109

Views

Definition of Chern classes : classical axiom vs Grothendieck

Published on 08 Apr 2023 - 9:20

94

Views

Algebraic topology reference for someone well acquainted with algebra and differential geometry

Published on 24 Apr 2023 - 6:34

105

Views

K Group Determined by Chern Classes

Published on 25 Mar 2026 - 12:42

73

Views

Â-genus of a complex manifold

Published on 26 Mar 2026 - 4:52

268

Views

Allendoerfer and Weil's generalization of Gauss-Bonnet Theorem

Published on 13 May 2023 - 9:28

71

Views

Degree of a line bundle using the zero locus of a holomorphic section

Published on 24 May 2023 - 11:47

159

Views

Evaluate Pontryagin class on Lens space $S^5/\mathbb{Z}_k=L(k;1,1,1)$

Published on 27 May 2023 - 14:16

List Question

First Chern class $c_1$ of $U(1)$ bundle over $S^2$ v.s. $\pi_1(S^1)=\mathbb{Z}$

Second Chern class $c_2$ of $SU(n)$ bundle over $S^4$ v.s. $\pi_3(SU(n))=\mathbb{Z}$

calculating Euler classes

Pullback of Stiefel-Whitney class along vector bundle map

Lens space $L^k(n) \equiv S^{2k-1}/\mathbb{Z}_n$: Stiefel-Whitney class and non/spin manifold

Classify $U(1)$ bundle over $\mathbf{P}^3$, and its topological invariants

How to tell the tangent bundle of $S^2$ from the bundle $S^2\times$ $y-z$ plane?

Does the first Chern class generate $H^2(P_n\mathbb{C};\mathbb{Z})$?

Definition of Chern classes : classical axiom vs Grothendieck

Algebraic topology reference for someone well acquainted with algebra and differential geometry

K Group Determined by Chern Classes

Â-genus of a complex manifold

Allendoerfer and Weil's generalization of Gauss-Bonnet Theorem

Degree of a line bundle using the zero locus of a holomorphic section

Evaluate Pontryagin class on Lens space $S^5/\mathbb{Z}_k=L(k;1,1,1)$

Trending Questions

Popular # Hahtags

Popular Questions