A topological characterization of holomorphic parabolic germs in the plane

• Autorzy: Frédéric Le Roux
• Języki publikacji: EN

Abstrakty

EN

J.-M. Gambaudo and É. Pécou introduced the "linking property" in the study of the dynamics of germs of planar homeomorphisms in order to provide a new proof of Naishul's theorem. In this paper we prove that the negation of the Gambaudo-Pécou property characterizes 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 turns out to be non-trivial except for countably many conjugacy classes.

Kategorie tematyczne

• 37E30: Homeomorphisms and diffeomorphisms of planes and surfaces
• 37E45: Rotation numbers and vectors
• 37F99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2008
• Tom: 198
• Numer: 1
• Strony: 77-94

Daty

wydano

2008

Twórcy

autor

Frédéric Le Roux

• Laboratoire de Mathématiques CNRS UMR 8628, Université Paris-Sud, Bât. 425, 91405 Orsay Cedex, France

Identyfikatory

DOI

10.4064/fm198-1-4