List questions from de-rham-cohomology

Published on 15 Apr 2026 - 1:13

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de Rham cohomology of doubly punctured torus

Published on 26 Mar 2026 - 8:03

141

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Wedge product between relative de Rham cohomology and de Rham cohomology on a subspace

Published on 15 Apr 2026 - 8:57

88

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How does this example from Spivak that $H_c^n(\mathbb R^n) \ne 0$?

Published on 26 Mar 2026 - 2:54

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Computing the de Rham cohomology of $S^2$

Published on 26 Mar 2026 - 2:55

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$\omega$ a closed 2-form and $\bigwedge_{i=1}^n \omega \ne 0$ on a compact orientable smooth $2n$-manifold w/o boundary, $M$, then $H^2(M) \ne 0$.

Published on 25 Mar 2026 - 9:50

51

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Involution action on $H^1(S^1\times S^2)$

Published on 09 Apr 2026 - 6:06

76

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Involution action on $H^3(S^1\times S^2)$

Published on 10 May 2026 - 13:49

563

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Chern class cohomology coefficients complex/real/integral?

Published on 25 Mar 2026 - 17:37

501

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Computing de Rham cohomology group $H^1(\mathbb{RP}^2\#\mathbb{RP}^2)$

Published on 26 Mar 2026 - 2:54

61

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Notational question on Kunneth Formula for de Rham cohomology

Published on 26 Mar 2026 - 4:34

1.2k

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Understanding the homotopy operator for de Rham Cohomology

Published on 26 Mar 2026 - 2:55

184

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Chern class of a principal $G$ bundle for a compact Lie group $G$

Published on 25 Mar 2026 - 16:01

160

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Forms on vector bundles: vertically compactly supported

Published on 26 Mar 2026 - 2:52

302

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$F:M\to N$ is surjective if $\int_M F^* \eta \ne 0$ for some $\eta \in \Omega^n(N)$

Published on 26 Mar 2026 - 2:57

List Question

Show that $\mathbb{S}^{n+m}$ is not homeomorphic to a product of orientable manifolds

de Rham cohomology of doubly punctured torus

Wedge product between relative de Rham cohomology and de Rham cohomology on a subspace

How does this example from Spivak that $H_c^n(\mathbb R^n) \ne 0$?

Computing the de Rham cohomology of $S^2$

$\omega$ a closed 2-form and $\bigwedge_{i=1}^n \omega \ne 0$ on a compact orientable smooth $2n$-manifold w/o boundary, $M$, then $H^2(M) \ne 0$.

Involution action on $H^1(S^1\times S^2)$

Involution action on $H^3(S^1\times S^2)$

Chern class cohomology coefficients complex/real/integral?

Computing de Rham cohomology group $H^1(\mathbb{RP}^2\#\mathbb{RP}^2)$

Notational question on Kunneth Formula for de Rham cohomology

Understanding the homotopy operator for de Rham Cohomology

Chern class of a principal $G$ bundle for a compact Lie group $G$

Forms on vector bundles: vertically compactly supported

$F:M\to N$ is surjective if $\int_M F^* \eta \ne 0$ for some $\eta \in \Omega^n(N)$

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