List questions from hodge-theory

Published on 17 Jun 2021 - 10:53

92

Views

Showing $\Delta(\Omega^p M)=d(\Omega^{p-1}M)\oplus \delta(\Omega^{p+1}M)$

Published on 22 Jun 2021 - 13:49

141

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Counter-example for complex version of Hodge conjecture.

Published on 16 Mar 2026 - 12:30

255

Views

Hodge decomposition.

Published on 11 Jul 2021 - 17:28

653

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Hodge star duality and the metric

Published on 30 Jul 2021 - 18:18

413

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Hodge star without a metric

Published on 03 Aug 2021 - 7:52

166

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Pullback of $S^n$ volume form

Published on 06 Aug 2021 - 13:50

100

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Calabi Yau threefolds

Published on 15 Aug 2021 - 18:18

169

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Why Hodge decomposition reflect the analytic structure

Published on 27 Aug 2021 - 3:59

100

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Signature is independent of the Riemannian metric chosen

Published on 11 Sep 2021 - 15:17

105

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fundamental elliptic complex in Hodge theory

Published on 14 Sep 2021 - 14:39

277

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Analytification of a smooth projective variety is a compact Kähler manifold.

Published on 26 Mar 2026 - 16:09

354

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Nowhere vanishing harmonic 1-forms on 3-manifolds

Published on 28 Sep 2021 - 20:11

158

Views

Hodge star operator commutes with the harmonic projection

Published on 05 Oct 2021 - 14:01

892

Views

Hodge star operator on complex manifold

Published on 24 Oct 2021 - 20:06

List Question

$\partial \bar \partial$-lemma for $d$-exact differential form.

Showing $\Delta(\Omega^p M)=d(\Omega^{p-1}M)\oplus \delta(\Omega^{p+1}M)$

Counter-example for complex version of Hodge conjecture.

Hodge decomposition.

Hodge star duality and the metric

Hodge star without a metric

Pullback of $S^n$ volume form

Calabi Yau threefolds

Why Hodge decomposition reflect the analytic structure

Signature is independent of the Riemannian metric chosen

fundamental elliptic complex in Hodge theory

Analytification of a smooth projective variety is a compact Kähler manifold.

Nowhere vanishing harmonic 1-forms on 3-manifolds

Hodge star operator commutes with the harmonic projection

Hodge star operator on complex manifold

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