English

The symplectic mapping class group of $\CC P^2 n{\bar{\CC P^2}}$ with $n\leq4$

Symplectic Geometry 2014-05-06 v2

Abstract

In this paper we prove that the Torelli part of the symplectomorphism groups of the nn-point (n4n\leq 4) blow-ups of the projective plane is trivial. Consequently, we determine the symplectic mapping class group. It is generated by reflections on KωK_{\omega}- spherical class with zero ω\omega area.

Keywords

Cite

@article{arxiv.1310.7329,
  title  = {The symplectic mapping class group of $\CC P^2 n{\bar{\CC P^2}}$ with $n\leq4$},
  author = {Jun Li and Tian-Jun Li and Weiwei Wu},
  journal= {arXiv preprint arXiv:1310.7329},
  year   = {2014}
}