A topological characterisation of holomorphic parabolic germs in the plane
نویسنده
چکیده
In [GP], Gambaudo and Pécou introduced the “linking property” to study the dynamics of germs of planar homeomorphims and provide a new proof of Naishul theorem. In this paper we prove that the negation of Gambaudo-Pécou property characterises the topological dynamics of holomorphic parabolic germs. As a consequence, a rotation set for germs of surface homeomorphisms around a fixed point can be defined, and it will turn out to be non trivial except for countably many conjugacy classes.
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