Question

Is there a relationship between the multiplicity of an index and the "algebraic" multiplicity of a zero of a section from a (complex) vector bundle?

score 437 · Answer 1 · 2021-03-23 03:09:56

437

Views

Is there a relationship between the multiplicity of an index and the "algebraic" multiplicity of a zero of a section from a (complex) vector bundle?

Published on 23 Mar 2021 - 3:09

score 59 · Answer 2 · 2021-04-03 05:33:56

59

Views

Milnor's definition of the Stiefel Whitney number

Published on 03 Apr 2021 - 5:33

score 189 · Answer 3 · 2021-04-10 08:41:17

189

Views

Vanishing Chern classes on vector bundle of $S^2$

Published on 10 Apr 2021 - 8:41

score 167 · Answer 4 · 2021-04-11 14:17:39

167

Views

Fiber bundle of real projective space $\mathbb{R}P^d$ over $S^1$

Published on 11 Apr 2021 - 14:17

score 106 · Answer 5 · 2021-04-14 10:35:15

106

Views

Prove that $\int_{\mathbb{C}\mathbb{P}^3}c_1(\mathbb{C}\mathbb{P}^3)^3=64$.

Published on 14 Apr 2021 - 10:35

score 134 · Answer 6 · 2021-05-23 12:25:37

134

Views

Find Pontrjagin number

Published on 23 May 2021 - 12:25

score 193 · Answer 7 · 2026-03-25 17:45:10

193

Views

About the obstruction theory and homotopy?

Published on 25 Mar 2026 - 17:45

score 121 · Answer 8 · 2021-06-13 21:15:18

121

Views

Verifying a given cohomology class is the Stiefel-Whitney class

Published on 13 Jun 2021 - 21:15

score 37 · Answer 9 · 2021-06-18 17:20:04

37

Views

Arbitrariness in the definition of characteristic classes

Published on 18 Jun 2021 - 17:20

score 52 · Answer 10 · 2026-03-27 22:31:12

52

Views

A different look on Chern-Weil Theory and the Cohomology Class

Published on 27 Mar 2026 - 22:31

score 337 · Answer 11 · 2026-03-26 23:11:07

337

Views

Chern character of a coherent sheaf over a projective manifold

Published on 26 Mar 2026 - 23:11

score 114 · Answer 12 · 2026-03-26 11:18:26

114

Views

Relating the Chern classes of vector bundles with structure groups $G_1$, $G_2$, and $G_1\times G_2$

Published on 26 Mar 2026 - 11:18

score 345 · Answer 13 · 2021-08-09 11:41:08

345

Views

Euler characteristic of a closed manifold whose universal cover is Euclidean

Published on 09 Aug 2021 - 11:41

score 178 · Answer 14 · 2021-08-12 02:25:21

178

Views

Third Chern class of an ideal sheaf of a curve on a quadric hypersurface.

Published on 12 Aug 2021 - 2:25

score 53 · Answer 15 · 2021-08-24 08:41:48

53

Views

Constant term in Riemann-Roch without Denominators.

Published on 24 Aug 2021 - 8:41

List Question

Is there a relationship between the multiplicity of an index and the "algebraic" multiplicity of a zero of a section from a (complex) vector bundle?

Milnor's definition of the Stiefel Whitney number

Vanishing Chern classes on vector bundle of $S^2$

Fiber bundle of real projective space $\mathbb{R}P^d$ over $S^1$

Prove that $\int_{\mathbb{C}\mathbb{P}^3}c_1(\mathbb{C}\mathbb{P}^3)^3=64$.

Find Pontrjagin number

About the obstruction theory and homotopy?

Verifying a given cohomology class is the Stiefel-Whitney class

Arbitrariness in the definition of characteristic classes

A different look on Chern-Weil Theory and the Cohomology Class

Chern character of a coherent sheaf over a projective manifold

Relating the Chern classes of vector bundles with structure groups $G_1$, $G_2$, and $G_1\times G_2$

Euler characteristic of a closed manifold whose universal cover is Euclidean

Third Chern class of an ideal sheaf of a curve on a quadric hypersurface.

Constant term in Riemann-Roch without Denominators.

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