【摘 要】
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In symplectic geometry,a classical object is the notion of action function,defined on the set of contractible fixed points of the time-one map of a Hamilton
【机 构】
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NankaiUniv.,Tianjin
【出 处】
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Workshop on Symplectic dynamics and Hamiltonian dynamics(辛动力
论文部分内容阅读
In symplectic geometry,a classical object is the notion of action function,defined on the set of contractible fixed points of the time-one map of a Hamiltonian isotopy.On the closed oriented surfaces,we generalize the function to the case of a homeomorphism isotopic to identity that preserves a Borel finite measure of rotation vector zero,provided that a boundedness condition is satisfied.By applying our generalized action function,we can study the periodic homeomorphisms and the distortion of the groups of conservative diffeomorphisms of surfaces.In the end of this talk,an open problem in this field since 1980,proposed by A.Fathi,will be introduced.
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