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March 2011 Symplectic mapping class groups of some Stein and rational surfaces
Jonathan David Evans
J. Symplectic Geom. 9(1): 45-82 (March 2011).

Abstract

In this paper we compute the homotopy groups of the symplectomorphism groups of the three-, four- and five-point blow-ups of the projective plane (considered as monotone symplectic Del Pezzo surfaces). Along the way, we need to compute the homotopy groups of the compactly supported symplectomorphism groups of the cotangent bundle of $RP^2$ and of $C^∗ ×C$. We also make progress in the case of the $A_n$-Milnor fibres: here we can show that the (compactly supported) Hamiltonian group is contractible and that the symplectic mapping class group embeds in the braid group on n-strands.

Citation

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Jonathan David Evans. "Symplectic mapping class groups of some Stein and rational surfaces." J. Symplectic Geom. 9 (1) 45 - 82, March 2011.

Information

Published: March 2011
First available in Project Euclid: 1 July 2011

zbMATH: 1242.58004
MathSciNet: MR2787361

Rights: Copyright © 2011 International Press of Boston

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Vol.9 • No. 1 • March 2011
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