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Book on characteristic classes

score 1.6k · Answer 1 · 2017-06-30 09:16:58

1.6k

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Book on characteristic classes

Published on 30 Jun 2017 - 9:16

score 288 · Answer 2 · 2017-06-30 19:06:25

288

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Pontryagin classes of $\mathbb{CP}^{2n}\#\mathbb{CP}^{2n}$

Published on 30 Jun 2017 - 19:06

score 514 · Answer 3 · 2026-03-25 16:01:22

514

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Specific definition of first Stiefel-Whitney class

Published on 25 Mar 2026 - 16:01

score 1.6k · Answer 4 · 2026-03-26 04:38:05

1.6k

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Calculation of the first Chern class of the canonical line bundle over $\mathbb{CP}^n$

Published on 26 Mar 2026 - 4:38

score 65 · Answer 5 · 2017-08-10 17:20:10

65

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How do I evaluate this sum, which expresses the Euler characteristic of a degree $d$ hypersurface in $\Bbb C\mathrm P^{n+1}$?

Published on 10 Aug 2017 - 17:20

score 428 · Answer 6 · 2026-03-26 03:01:32

428

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Is there a description of the Grassmannian as a homogeneous space where the principal bundle is one associated to the universal vector bundle?

Published on 26 Mar 2026 - 3:01

score 328 · Answer 7 · 2017-08-14 20:30:40

328

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Construction of Thom classes via the Poincaré Duality Theorem

Published on 14 Aug 2017 - 20:30

score 386 · Answer 8 · 2017-08-24 05:12:31

386

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Are the chern classes of the sphere bundle from a complex line bundle the same?

Published on 24 Aug 2017 - 5:12

score 291 · Answer 9 · 2017-08-24 19:08:49

291

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Do there exist line bundles over the product of elliptic curves $E\times E$ which have a non-trivial chern class contained in $H^1(E)\otimes H^1(E)$?

Published on 24 Aug 2017 - 19:08

score 416 · Answer 10 · 2017-08-28 14:18:52

416

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Does there exist any space with $S^n$ as a covering space, that addmits immersion in $\mathbb{R}^{n+1}$?

Published on 28 Aug 2017 - 14:18

score 251 · Answer 11 · 2026-03-25 14:21:51

251

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Examples for obstructions to a $Spin^c$ structure

Published on 25 Mar 2026 - 14:21

score 91 · Answer 12 · 2017-09-09 09:19:11

91

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Does there exist any space with $S^n$ as a covering space, that admits an embedding in $R^{n+1}$?

Published on 09 Sep 2017 - 9:19

score 671 · Answer 13 · 2017-09-12 10:01:41

671

Views

Can two vector bundles with the same Chern classes be topologically different?

Published on 12 Sep 2017 - 10:01

score 520 · Answer 14 · 2017-09-13 05:08:38

520

Views

is there a bundle with any given Euler class?

Published on 13 Sep 2017 - 5:08

score 164 · Answer 15 · 2026-03-26 04:29:28

164

Views

Lifting the classyfing map and characteristic classes

Published on 26 Mar 2026 - 4:29

List Question

Book on characteristic classes

Pontryagin classes of $\mathbb{CP}^{2n}\#\mathbb{CP}^{2n}$

Specific definition of first Stiefel-Whitney class

Calculation of the first Chern class of the canonical line bundle over $\mathbb{CP}^n$

How do I evaluate this sum, which expresses the Euler characteristic of a degree $d$ hypersurface in $\Bbb C\mathrm P^{n+1}$?

Is there a description of the Grassmannian as a homogeneous space where the principal bundle is one associated to the universal vector bundle?

Construction of Thom classes via the Poincaré Duality Theorem

Are the chern classes of the sphere bundle from a complex line bundle the same?

Do there exist line bundles over the product of elliptic curves $E\times E$ which have a non-trivial chern class contained in $H^1(E)\otimes H^1(E)$?

Does there exist any space with $S^n$ as a covering space, that addmits immersion in $\mathbb{R}^{n+1}$?

Examples for obstructions to a $Spin^c$ structure

Does there exist any space with $S^n$ as a covering space, that admits an embedding in $R^{n+1}$?

Can two vector bundles with the same Chern classes be topologically different?

is there a bundle with any given Euler class?

Lifting the classyfing map and characteristic classes

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