Timeline for What's the geometric statement of this fibrewise integration on a symplectic manifold with Lagrangian fibration?
Current License: CC BY-SA 3.0
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Nov 24, 2014 at 9:03 | answer | added | Tobias Diez | timeline score: 1 | |
Nov 22, 2014 at 18:57 | comment | added | duetosymmetry | @GuangboXu, why do you say it's a section of the dual density bundle, and not just a section of the density bundle? And do you know if this is specific to the cotangent bundle of a manifold, or any symplectic manifold admitting a Lagrangian fibration? | |
Nov 22, 2014 at 0:13 | comment | added | Guangbo Xu | You can consider the 1-dimensional case, when symplectic form coincides with the volume form. The thing you obtained by integrating along the fibre is a section of the dual bundle of the density bundle of the base. | |
Nov 21, 2014 at 1:19 | history | edited | duetosymmetry | CC BY-SA 3.0 |
added 639 characters in body
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Nov 20, 2014 at 17:03 | history | asked | duetosymmetry | CC BY-SA 3.0 |