Timeline for Lagrangian submanifold containing a curve
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 10, 2011 at 17:04 | comment | added | Sam Lisi | @Sita: I don't believe this should be a problem, but maybe I don't understand what you mean. Since this is not pertinent to your original question about existence of Lagrangian submanifolds, feel free to contact me (contact info on my user page) if you want to discuss further. | |
| Dec 8, 2011 at 15:40 | vote | accept | Anon | ||
| Dec 8, 2011 at 15:40 | comment | added | Anon | Sam: the derivative of the maps on the boundary are bounded, but I am not able to show that there is no energy escaping to the boundary. i.e I can't show that the derivatives are bounded in neighbourhoods of boundary points. | |
| Dec 8, 2011 at 13:06 | comment | added | Sam Lisi | In your case, you don't even need to worry about the existence of a totally real submanifold containing $C$ -- the compactness follows immediately "by hand". The main work in proving Gromov compactness when you have boundary on a Lagrangian/totally real submanifold is to show that boundary singularities can be removed and that boundary bubbles connect. In your case, nothing interesting happens at the boundary, so you can sidestep this issue entirely. | |
| Dec 8, 2011 at 3:28 | answer | added | Mike Usher | timeline score: 6 | |
| Dec 7, 2011 at 22:10 | history | asked | Anon | CC BY-SA 3.0 |