List questions from classifying-spaces

Published on 05 Nov 2016 - 22:34

162

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Can we see the symplectic nature of cotangent bundles through classifying maps.

Published on 17 Nov 2016 - 11:14

1.4k

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Group (co)homology and classyfing spaces

Published on 26 Nov 2016 - 20:37

282

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Chern-weil theory on the classifying bundle

Published on 29 Nov 2016 - 18:03

376

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Classifying space of a group

Published on 20 Dec 2016 - 3:11

1.8k

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Is the classifying space $B^nG$ the Eilenberg-MacLane space $K(G, n)$?

Published on 29 Jan 2017 - 23:27

323

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Proving that $\xi$ is a trivial vector bundle iff $\xi \oplus \varepsilon^1$ is trivial

Published on 25 Feb 2017 - 8:15

30

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Prove $K(\mathbb{Z}^n,2) = B\mathbb{T}^n$

Published on 01 Apr 2017 - 19:00

55

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Cohomology morphism $H^(B\mathbb{Z}_2^n,\mathbb{Z}_2) \to H^(BS\mathbb{Z}_2^n,\mathbb{Z}_2)$

Published on 08 Apr 2017 - 17:05

107

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Homotopy Types of Fibrations in Postnikov Tower encoded by Classifing map

Published on 03 Feb 2023 - 15:24

102

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Classification of surface bundles and an isomorphism between $[S^n, BDiff(X)]$ and $\pi_{n-1}(Diff(X))/\pi_0(Diff(X))$

Published on 19 Feb 2023 - 14:18

162

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Pullback of a covering map along the covering map.

Published on 08 Mar 2023 - 19:28

98

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How to construct an explicit homotopy equivalence between these classifying spaces?

Published on 03 Apr 2023 - 7:43

112

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Maps between classifying spaces induced from group homomorphism

Published on 03 Apr 2023 - 14:57

214

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Classifying Spaces of Matrix Lie Groups

Published on 10 Apr 2023 - 14:21

List Question

Cohomology of classifying spaces

Can we see the symplectic nature of cotangent bundles through classifying maps.

Group (co)homology and classyfing spaces

Chern-weil theory on the classifying bundle

Classifying space of a group

Is the classifying space $B^nG$ the Eilenberg-MacLane space $K(G, n)$?

Proving that $\xi$ is a trivial vector bundle iff $\xi \oplus \varepsilon^1$ is trivial

Prove $K(\mathbb{Z}^n,2) = B\mathbb{T}^n$

Cohomology morphism $H^(B\mathbb{Z}_2^n,\mathbb{Z}_2) \to H^(BS\mathbb{Z}_2^n,\mathbb{Z}_2)$

Homotopy Types of Fibrations in Postnikov Tower encoded by Classifing map

Classification of surface bundles and an isomorphism between $[S^n, BDiff(X)]$ and $\pi_{n-1}(Diff(X))/\pi_0(Diff(X))$

Pullback of a covering map along the covering map.

How to construct an explicit homotopy equivalence between these classifying spaces?

Maps between classifying spaces induced from group homomorphism

Classifying Spaces of Matrix Lie Groups

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