cheatsheets:symplectic-contact-manifold
Differences
This shows you the differences between two versions of the page.
| Both sides previous revisionPrevious revisionNext revision | Previous revision | ||
| cheatsheets:symplectic-contact-manifold [2022/12/12 18:15] – pzhou | cheatsheets:symplectic-contact-manifold [2023/06/25 15:53] (current) – external edit 127.0.0.1 | ||
|---|---|---|---|
| Line 50: | Line 50: | ||
| Given an immersed Lagrangian $L$ in $W$ (no wrapping turned on) equipped with a potential, we can do the lift $L_+$ to $M$. Then, we have a free algebra generated by the double point in $L$, or Reeb chord ending in $L_+$. **It is hugely non-commutative**. The only thing makes geometric sense is the differential, | Given an immersed Lagrangian $L$ in $W$ (no wrapping turned on) equipped with a potential, we can do the lift $L_+$ to $M$. Then, we have a free algebra generated by the double point in $L$, or Reeb chord ending in $L_+$. **It is hugely non-commutative**. The only thing makes geometric sense is the differential, | ||
| - | So [[https:// | + | So [[https:// |
| ==== Linearized version ==== | ==== Linearized version ==== | ||
cheatsheets/symplectic-contact-manifold.1670868950.txt.gz · Last modified: 2023/06/25 15:53 (external edit)