English

Curve obstruction for autonomous diffeomorphisms on surfaces

Symplectic Geometry 2021-06-08 v1

Abstract

Consider a Hamiltonian diffeomorphism gg on a surface. We describe several scenarios where a curve LL and its image g(L)g(L) provide a simple evidence that gg is not autonomous.

Keywords

Cite

@article{arxiv.2106.03622,
  title  = {Curve obstruction for autonomous diffeomorphisms on surfaces},
  author = {Michael Khanevsky},
  journal= {arXiv preprint arXiv:2106.03622},
  year   = {2021}
}
R2 v1 2026-06-24T02:54:47.505Z