Timeline for What is Symplectic Area?
Current License: CC BY-SA 2.5
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| Jan 23, 2011 at 18:47 | comment | added | Patrick I-Z | Which is also the "action". Actually this is always true, there exists always above a symplectic manifold (or not symplectic, or not a manifold) a principal bundle with group the torus of periods of the closed 2-form, that is the quotient of the real line by the group of periods (can be not a Lie group), equipped with a connection 1-form with curvature the 2-form, and any loop can be lifted horizontally (in the kernel of the connexion), such that the area enclosed is equal to the "length" of the path along the fiber of the lift. | |
| Jan 23, 2011 at 18:07 | history | answered | Vít Tuček | CC BY-SA 2.5 |