Timeline for symplectic structure of tangent bundle of $\mathbb{S}^{n-1}$
Current License: CC BY-SA 3.0
14 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 18, 2022 at 7:59 | comment | added | Ali Taghavi | Thank you again for your interesting answer. I am sorry I am not able to accept two answers simultaneously. BTW I am browsing your thesis"Method des orbit et representation quantiques" | |
| Dec 1, 2013 at 18:17 | comment | added | Ali Taghavi | Tim,Daniel,Mike and Francois, thanks a lot for your helps | |
| Dec 1, 2013 at 0:00 | comment | added | Francois Ziegler | @DanielPomerleano, Mike Usher: Thanks for setting me straight. I have now corrected my answer accordingly. | |
| Nov 30, 2013 at 23:59 | comment | added | Francois Ziegler | @TimPerutz You're absolutely right :-) | |
| Nov 30, 2013 at 23:58 | history | edited | Francois Ziegler | CC BY-SA 3.0 |
added 1511 characters in body
|
| Nov 30, 2013 at 17:39 | comment | added | Mike Usher | Part 2 of the answer successfully shows that a certain specific diffeomorphism between the spaces is not a symplectomorphism...of course this is not the same as showing that they are not symplectomorphic. | |
| Nov 30, 2013 at 16:45 | comment | added | Daniel Pomerleano | Check the other paper, that should make things clear. Also, I'm sure it's in Seidel's book on Picard Lefschetz theory. The fact you want is only stated within the proof of 6.11. | |
| Nov 30, 2013 at 16:32 | comment | added | Ali Taghavi | Yes in my question I mean symplectomorphism. but how lema 6.11 implies that they are sympletctomrphism? | |
| Nov 30, 2013 at 15:29 | comment | added | Daniel Pomerleano | I'm very confused: I think the answer to question 2 is "yes" if we mean "symplectomorphic". See e.g. Lemma 18.1 of Seidel's thesis or lemma 6.11 of arxiv.org/pdf/math/0006056v2.pdf. | |
| Nov 30, 2013 at 15:14 | comment | added | Tim Perutz | For 1), there's no need to compute: $M$ is a complex submanifold of $\mathbb{C}^n$, hence a symplectic submanifold. | |
| Nov 30, 2013 at 14:22 | history | edited | Francois Ziegler | CC BY-SA 3.0 |
make clear basis is chosen orthonormal
|
| Nov 29, 2013 at 22:46 | comment | added | Francois Ziegler | Only perverts like us! | |
| Nov 29, 2013 at 22:42 | comment | added | Patrick I-Z | Not many people use $\delta$ to denote tangent vectors... | |
| Nov 29, 2013 at 20:45 | history | answered | Francois Ziegler | CC BY-SA 3.0 |