Question

How do I complete this prove of $\Phi$ is linear and symplectic iff its graph is a Lagrangian subspace of $(V \times V,(−\omega) \oplus \omega)$?

score 61 · Answer 1 · 2026-02-23 08:42:20

61

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How do I complete this prove of $\Phi$ is linear and symplectic iff its graph is a Lagrangian subspace of $(V \times V,(−\omega) \oplus \omega)$?

Published on 23 Feb 2026 - 8:42

score 119 · Answer 2 · 2026-03-25 18:48:08

119

Views

Searching for a bound for the integral of a 1-form along a loop.

Published on 25 Mar 2026 - 18:48

score 46 · Answer 3 · 2026-03-26 12:53:05

46

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Does a co-exact 1-form generate a Hamiltonian vector field?

Published on 26 Mar 2026 - 12:53

score 70 · Answer 4 · 2026-03-25 09:51:36

70

Views

Type A quivers and flag varieties from Kirilllov

Published on 25 Mar 2026 - 9:51

score 52 · Answer 5 · 2026-02-23 06:22:51

52

Views

Symplectic vs contact diffeomorphisms and Lagrangian vs Legendrian submanifolds

Published on 23 Feb 2026 - 6:22

score 113 · Answer 6 · 2026-03-27 13:52:17

113

Views

Smooth points in fibers of moment map

Published on 27 Mar 2026 - 13:52

score 57 · Answer 7 · 2023-04-07 02:08:46

57

Views

Symplectic vector fields form a Lie Algebra

Published on 07 Apr 2023 - 2:08

score 70 · Answer 8 · 2026-03-25 03:21:24

70

Views

criteria for when the total space of a vector bundle over a toric variety is a toric variety itself

Published on 25 Mar 2026 - 3:21

score 229 · Answer 9 · 2023-04-07 22:58:56

229

Views

Show that exists a canonical symplectomorphism $T^{}E^{}\cong T^{*}E$

Published on 07 Apr 2023 - 22:58

score 67 · Answer 10 · 2026-02-23 08:42:19

67

Views

What is the geometry of $L=\lbrace W \subset V:\text{$W$ is Lagrange subspace of $V$} \rbrace$?

Published on 23 Feb 2026 - 8:42

score 50 · Answer 11 · 2026-03-28 05:59:59

50

Views

isotropy of the cotangent lift of a group action

Published on 28 Mar 2026 - 5:59

score 22 · Answer 12 · 2026-03-25 08:10:01

22

Views

Lefschetz fibration on product of surfaces

Published on 25 Mar 2026 - 8:10

score 191 · Answer 13 · 2026-03-26 06:29:14

191

Views

What can we say about the divergence of Hamiltonian vector fields?

Published on 26 Mar 2026 - 6:29

score 66 · Answer 14 · 2026-03-25 14:38:00

66

Views

Lagrangian field theories define a canonical $\mathbb R$-torsor/$\mathbb R$-bundle

Published on 25 Mar 2026 - 14:38

score 64 · Answer 15 · 2026-03-26 06:28:37

64

Views

Equivalence of Hyper Kahler structure and three non isomorphic symplectic structures

Published on 26 Mar 2026 - 6:28

List Question

How do I complete this prove of $\Phi$ is linear and symplectic iff its graph is a Lagrangian subspace of $(V \times V,(−\omega) \oplus \omega)$?

Searching for a bound for the integral of a 1-form along a loop.

Does a co-exact 1-form generate a Hamiltonian vector field?

Type A quivers and flag varieties from Kirilllov

Symplectic vs contact diffeomorphisms and Lagrangian vs Legendrian submanifolds

Smooth points in fibers of moment map

Symplectic vector fields form a Lie Algebra

criteria for when the total space of a vector bundle over a toric variety is a toric variety itself

Show that exists a canonical symplectomorphism $T^{}E^{}\cong T^{*}E$

What is the geometry of $L=\lbrace W \subset V:\text{$W$ is Lagrange subspace of $V$} \rbrace$?

isotropy of the cotangent lift of a group action

Lefschetz fibration on product of surfaces

What can we say about the divergence of Hamiltonian vector fields?

Lagrangian field theories define a canonical $\mathbb R$-torsor/$\mathbb R$-bundle

Equivalence of Hyper Kahler structure and three non isomorphic symplectic structures

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