Timeline for Special Hamiltonian diffeomorphisms
Current License: CC BY-SA 2.5
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 5, 2010 at 16:11 | comment | added | Tim Perutz | Banyaga's work has some relevance here. He showed that for closed symplectic manifolds, the Hamiltonian group is simple. Yet the subgroup generated by the autonomous Hamiltonians is normal. Hence every Hamiltonian diffeo is a composite of autonomous Hamiltonian diffeos. | |
| Oct 5, 2010 at 2:30 | answer | added | Dick Palais | timeline score: 1 | |
| Oct 5, 2010 at 1:03 | answer | added | Mike Usher | timeline score: 11 | |
| Oct 5, 2010 at 0:37 | comment | added | Mike Usher | @Ryan: Note the word "autonomous" in the question. The standard definition of a Hamiltonian diffeomorphism involves a Hamiltonian function that may depend on time--he's asking if/how you can tell that a given Hamiltonian diffeo can be generated by a time-independent Hamiltonian. | |
| Oct 4, 2010 at 23:41 | comment | added | Ryan Budney | Oh, it's probably because they're not on his web-page, sorry if I was confusing: math.psu.edu/wade/dakar.pdf | |
| Oct 4, 2010 at 23:38 | comment | added | mathphysicist | @Ryan: could you please give a link for the notes? I can't find anything like that on the Banyaga's home page. Thanks in advance! | |
| Oct 4, 2010 at 23:12 | comment | added | Ryan Budney | I'm confused, what definition of Hamiltonian diffeomorphism are you using? I've seen them defined to be the time-one map of a Hamiltonian flow in Banyaga's on-line lecture notes. | |
| Oct 4, 2010 at 22:03 | history | asked | Marco Mazzucchelli | CC BY-SA 2.5 |