Periodic approximations of irrational pseudo-rotations using pseudoholomorphic curves
Periodic approximations of irrational pseudo-rotations using pseudoholomorphic curves
We prove that every C ∞ -smooth, area preserving diffeomorphism of the closed 2-disk having not more than one periodic point is the uniform limit of periodic C ∞ -smooth diffeomorphisms.In particular, every smooth irrational pseudo-rotation can be C 0 -approximated by integrable systems.This partially answers a long standing question …