The symplectic mapping class group of CC P² n{bar{CC P²}} with nleq4
classification
🧮 math.SG
keywords
classgroupmappingomegasymplecticareablow-upsconsequently
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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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