List questions from de-rham-cohomology

Published on 25 Mar 2026 - 9:29

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de Rham cohomology of doubly punctured torus

Published on 07 Dec 2018 - 23:29

138

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

Published on 10 Dec 2018 - 9:20

87

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

Published on 10 Dec 2018 - 23:28

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Computing the de Rham cohomology of $S^2$

Published on 12 Dec 2018 - 18:52

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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

50

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

Published on 23 Feb 2026 - 1:25

75

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

Published on 25 Mar 2026 - 6:11

563

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Chern class cohomology coefficients complex/real/integral?

Published on 25 Mar 2026 - 17:37

500

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

Published on 24 Dec 2018 - 22:58

60

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Notational question on Kunneth Formula for de Rham cohomology

Published on 25 Dec 2018 - 3:35

1.2k

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Understanding the homotopy operator for de Rham Cohomology

Published on 25 Dec 2018 - 8:06

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

159

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Forms on vector bundles: vertically compactly supported

Published on 28 Dec 2018 - 2:08

301

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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 31 Dec 2018 - 1:44

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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