Simplicity of homeo(D2, ∂D2, Area) and fragmentation of symplectic diffeomorphisms
نویسندگان
چکیده
منابع مشابه
Simplicity of Homeo(D, ∂D,Area) and fragmentation of symplectic diffeomorphisms
In 1980, Albert Fathi asked whether the group of area-preserving homeomorphisms of the 2-disc that are the identity near the boundary is a simple group. In this paper, we show that the simplicity of this group is equivalent to the following fragmentation property in the group of compactly supported, area preserving diffeomorphisms of the plane : there exists a constant m such that every element...
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ژورنال
عنوان ژورنال: Journal of Symplectic Geometry
سال: 2010
ISSN: 1527-5256,1540-2347
DOI: 10.4310/jsg.2010.v8.n1.a5