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The symplectic mapping class group of $\CC P^2 n{\bar{\CC P^2}}$ with $n\leq4$
Published 28 Oct 2013 in math.SG | (1310.7329v2)
Abstract: In this paper we prove that the Torelli part of the symplectomorphism groups of the $n$-point ($n\leq 4$) 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.
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