English

Central extensions of groups of symplectomorphisms

Differential Geometry 2013-02-08 v3 Symplectic Geometry

Abstract

We construct some canonically defined central extensions of groups of symplectomorphisms. We show that this central extension is nontrivial in the case of a torus of dimension 6\ge 6 and in the case of a two-dimensional surface of genus 3\ge 3.

Keywords

Cite

@article{arxiv.math/0406213,
  title  = {Central extensions of groups of symplectomorphisms},
  author = {Yurii A. Neretin},
  journal= {arXiv preprint arXiv:math/0406213},
  year   = {2013}
}

Comments

30 pp, 4 fig. This is a corrected (2006) version

R2 v1 2026-07-22T17:06:32.836Z