%0 Journal Article
%T Symplectomorphism groups and almost complex structures
%A Dusa McDuff
%J Mathematics
%D 2000
%I arXiv
%X This paper studies groups of symplectomorphisms of ruled surfaces for symplectic forms with varying cohomology class. This class is characterized by the ratio R of the size of the base to that of the fiber. By considering appropriate spaces of almost complex structures, we investigate how the topological type of these groups changes as R increases. If the base is a sphere, this changes precisely when R passes an integer, and for general bases it stabilizes as R goes to infinity. Our results extend and make more precise some of the conclusions of Abreu--McDuff concerning the rational homotopy type of these groups for rational ruled surfaces.
%U http://arxiv.org/abs/math/0010274v2