The symplectic mapping class group of $\CC P^2 n{\bar{\CC P^2}}$ with $n\le 4$

Abstract

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

References in corpus (1)

• Symplectormophism groups of non-compact manifolds, orbifold balls, and a space of Lagrangians

Cited by in corpus (1)

• Kodaira Dimension in Low Dimensional Topology