English

A 2-cocycle on a group of symplectomorphisms

Group Theory 2007-07-05 v3 Symplectic Geometry

Abstract

For a symplectic manifold (M,\om)(M,\om) with exact symplectic form we construct a 2-cocycle on the group of symplectomorphisms and indicate cases when this cocycle is not trivial.

Keywords

Cite

@article{arxiv.math/0410100,
  title  = {A 2-cocycle on a group of symplectomorphisms},
  author = {Rais S. Ismagilov and Mark Losik and Peter W. Michor},
  journal= {arXiv preprint arXiv:math/0410100},
  year   = {2007}
}

Comments

9 pages, Latex, shortened version, new coauthor, title changed

R2 v1 2026-07-22T17:10:42.638Z