Topology of Symplectomorphism Groups of S 2 × S 2


In dimension 4, due to non-existence of adequate tools, very little is known about the topology of groups of diffeomorphisms. For example, it is unknown if the group of compactly supported diffeomorphisms of R is connected. The situation is much better if one wants to study groups of symplectomorphisms. This is due to the existence of powerful tools, going… (More)



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