List questions from de-rham-cohomology

Published on 06 Oct 2020 - 17:14

45

Views

Exterior differential equation in 3D

Published on 09 Oct 2020 - 0:07

146

Views

The proof of isomorphism between the double complex and the de-Rham cohomology (Theorem 8.1 - Bott and Tu)

Published on 16 Oct 2020 - 15:18

480

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Homotopy invariance for compactly supported cohomology

Published on 26 Mar 2026 - 7:33

242

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Finding generators for cohomology group by analysing Mayer-Vietoris sequence

Published on 20 Oct 2020 - 18:46

190

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Definition of connecting homomorphism for Mayer-Vietoris sequence

Published on 28 Oct 2020 - 10:19

30

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Question about short exact sequence of differential complexes

Published on 09 Nov 2020 - 2:41

146

Views

Showing that Hopf fibration admits no global sections (not a duplicate!)

Published on 23 Nov 2020 - 1:00

100

Views

Calculating de Rham cohomology of complement of $\mathbb{RP}^n$

Published on 24 Nov 2020 - 3:26

358

Views

Lie algebra cohomology and De Rham cohomology of a compact Lie group

Published on 23 Feb 2026 - 4:42

186

Views

Do 'zeros and poles' (with multiplicity) of a complex-valued function correspond to 'holes' of the de Rham cohomology of a punctured plane?

Published on 25 Nov 2020 - 20:17

134

Views

Correspondence cohomology and Chern character

Published on 04 Dec 2020 - 15:20

584

Views

Proving pullback of projection to quotient manifold is always injective on de Rham cohomology

Published on 07 Dec 2020 - 3:12

593

Views

$M$ is compact and oriented/orientable if and only if top bundle trivial?

Published on 08 Dec 2020 - 12:51

40

Views

References about De Rham theorem wth regularity $L^1$

Published on 17 Dec 2020 - 13:39

List Question

Cohomology of n-Sphere by Mayer Vietoris sequence

Exterior differential equation in 3D

The proof of isomorphism between the double complex and the de-Rham cohomology (Theorem 8.1 - Bott and Tu)

Homotopy invariance for compactly supported cohomology

Finding generators for cohomology group by analysing Mayer-Vietoris sequence

Definition of connecting homomorphism for Mayer-Vietoris sequence

Question about short exact sequence of differential complexes

Showing that Hopf fibration admits no global sections (not a duplicate!)

Calculating de Rham cohomology of complement of $\mathbb{RP}^n$

Lie algebra cohomology and De Rham cohomology of a compact Lie group

Do 'zeros and poles' (with multiplicity) of a complex-valued function correspond to 'holes' of the de Rham cohomology of a punctured plane?

Correspondence cohomology and Chern character

Proving pullback of projection to quotient manifold is always injective on de Rham cohomology

$M$ is compact and oriented/orientable if and only if top bundle trivial?

References about De Rham theorem wth regularity $L^1$

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