List questions from de-rham-cohomology

Published on 13 Apr 2026 - 5:45

1.8k

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De Rham cohomology of compact manifold minus one point

Published on 15 Apr 2026 - 14:14

836

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Cohomology of a punctured torus using Mayer Vietoris

Published on 12 Apr 2026 - 20:19

133

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What is the relationship between the support of cohomologous forms, possibly in the context of the Poincaré dual?

Published on 12 Apr 2026 - 10:37

88

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The 3rd de Rham cohomology of a 6th-dimensional oriented compact smooth manifold has even dimension

Published on 12 Apr 2026 - 17:33

100

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Algebraic de Rham cohomology of the affine plane in characteristic p?

Published on 10 May 2026 - 13:51

239

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Virasoro algebra question: Is there a two-surface in Diff($S^1$) with a non-zero integral over the cocycle in $H^2(\mathfrak{g}, \mathbb{C})$?

Published on 06 May 2026 - 14:30

97

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vanishing of higher de Rham complex/cohomology of scheme without regularity/smoothness condition

Published on 10 May 2026 - 12:17

76

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find a cochain map $ψ: A• → B•$ with a condition that $ψ^i:A^i→B^i$ is an inijective

Published on 16 Apr 2026 - 9:52

474

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Question Regarding a form that is closed but not exact, and smooth angle function on the punctured plane

Published on 14 Apr 2026 - 2:39

114

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de Rham cohomology of a double

Published on 12 Apr 2026 - 12:12

302

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Calculation of This Pullback of a Differential Form

Published on 14 Apr 2026 - 12:14

141

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Maxwell's Equations in Terms of the de Rham complex

Published on 10 Apr 2026 - 5:09

249

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Bott and Tu Proposition 12.1

Published on 10 May 2026 - 17:09

1.1k

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Definition of the cup (wedge) product of de Rham cohomology classes

Published on 12 Apr 2026 - 11:26

List Question

Nonvanishing form in $\Omega^3(O(3))$

De Rham cohomology of compact manifold minus one point

Cohomology of a punctured torus using Mayer Vietoris

What is the relationship between the support of cohomologous forms, possibly in the context of the Poincaré dual?

The 3rd de Rham cohomology of a 6th-dimensional oriented compact smooth manifold has even dimension

Algebraic de Rham cohomology of the affine plane in characteristic p?

Virasoro algebra question: Is there a two-surface in Diff($S^1$) with a non-zero integral over the cocycle in $H^2(\mathfrak{g}, \mathbb{C})$?

vanishing of higher de Rham complex/cohomology of scheme without regularity/smoothness condition

find a cochain map $ψ: A• → B•$ with a condition that $ψ^i:A^i→B^i$ is an inijective

Question Regarding a form that is closed but not exact, and smooth angle function on the punctured plane

de Rham cohomology of a double

Calculation of This Pullback of a Differential Form

Maxwell's Equations in Terms of the de Rham complex

Bott and Tu Proposition 12.1

Definition of the cup (wedge) product of de Rham cohomology classes

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