English

Classification of coadjoint orbits for symplectomorphism groups of surfaces

Symplectic Geometry 2021-11-01 v2

Abstract

We classify generic coadjoint orbits for symplectomorphism groups of compact symplectic surfaces with or without boundary. We also classify simple Morse functions on such surfaces up to a symplectomorphism.

Keywords

Cite

@article{arxiv.2011.11845,
  title  = {Classification of coadjoint orbits for symplectomorphism groups of surfaces},
  author = {Ilia Kirillov},
  journal= {arXiv preprint arXiv:2011.11845},
  year   = {2021}
}

Comments

27 pages, 8 figures