Question

Trouble understanding differential forms. A basic question: what does $w \times dw$ mean?

score 252 · Answer 1 · 2013-04-26 08:14:16

252

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Trouble understanding differential forms. A basic question: what does $w \times dw$ mean?

Published on 26 Apr 2013 - 8:14

score 3.2k · Answer 2 · 2026-03-26 21:27:09

3.2k

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Why is Griffiths Transversality part of the definition of a variation of Hodge structures?

Published on 26 Mar 2026 - 21:27

score 252 · Answer 3 · 2013-05-17 03:47:34

252

Views

what to replace Hodge theory with if I don't know what complex numbers are

Published on 17 May 2013 - 3:47

score 91 · Answer 4 · 2013-06-27 12:05:00

91

Views

I need help understanding the proof of the Lifting Theorem for $H^1$-functions.

Published on 27 Jun 2013 - 12:05

score 164 · Answer 5 · 2013-07-20 19:53:42

164

Views

Weil operator of elliptic curve

Published on 20 Jul 2013 - 19:53

score 583 · Answer 6 · 2013-07-21 11:38:34

583

Views

Inner product of De Rham cohomology classes

Published on 21 Jul 2013 - 11:38

score 713 · Answer 7 · 2013-08-21 11:17:33

713

Views

Poincare duality on non closed manifolds

Published on 21 Aug 2013 - 11:17

score 511 · Answer 8 · 2013-08-22 09:28:00

511

Views

How to integrate this differential form on the boundary of the cube

Published on 22 Aug 2013 - 9:28

score 2.7k · Answer 9 · 2013-09-03 19:07:42

2.7k

Views

Self-dual and anti-self-dual decomposition

Published on 03 Sep 2013 - 19:07

score 501 · Answer 10 · 2013-11-01 17:09:59

501

Views

Can there be non trivial self-dual 5-forms on a 10-dimensional compact orientable manifold without boundary?

Published on 01 Nov 2013 - 17:09

score 86 · Answer 11 · 2013-11-04 08:17:23

86

Views

How do I compute the harmonic component of a given differential form?

Published on 04 Nov 2013 - 8:17

score 332 · Answer 12 · 2013-11-08 21:13:52

332

Views

Show that $a \wedge * b = g(a,b) \operatorname{vol}$

Published on 08 Nov 2013 - 21:13

score 268 · Answer 13 · 2013-12-06 03:59:09

268

Views

$\dim_k H^1(X, \Omega_X)$, $X \subset \mathbb{P}^3$ a projective surface

Published on 06 Dec 2013 - 3:59

score 1.3k · Answer 14 · 2013-12-12 02:08:08

1.3k

Views

Is a curl-free vector field always a gradient?

Published on 12 Dec 2013 - 2:08

score 344 · Answer 15 · 2026-03-26 19:35:40

344

Views

Various Proofs for Hodge Decomposition Theorem

Published on 26 Mar 2026 - 19:35

List Question

Trouble understanding differential forms. A basic question: what does $w \times dw$ mean?

Why is Griffiths Transversality part of the definition of a variation of Hodge structures?

what to replace Hodge theory with if I don't know what complex numbers are

I need help understanding the proof of the Lifting Theorem for $H^1$-functions.

Weil operator of elliptic curve

Inner product of De Rham cohomology classes

Poincare duality on non closed manifolds

How to integrate this differential form on the boundary of the cube

Self-dual and anti-self-dual decomposition

Can there be non trivial self-dual 5-forms on a 10-dimensional compact orientable manifold without boundary?

How do I compute the harmonic component of a given differential form?

Show that $a \wedge * b = g(a,b) \operatorname{vol}$

$\dim_k H^1(X, \Omega_X)$, $X \subset \mathbb{P}^3$ a projective surface

Is a curl-free vector field always a gradient?

Various Proofs for Hodge Decomposition Theorem

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