A topological characterization of holomorphic parabolic germs in the plane

DOI10.4064/fm198-1-4zbMath1160.37012arXiv0709.1398OpenAlexW1999433440MaRDI QIDQ5427847

Frédéric Le Roux

Publication date: 27 November 2007

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.1398

zbMATH Keywords

linking propertyinvariant petalsLeau-Fatou theoremparabolic homeomorphismshort trip property

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Rotation numbers and vectors (37E45)

Related Items (4)

Existence of torsion-low maximal isotopies for area preserving surface homeomorphisms ⋮ Naishul's theorem for fibered holomorphic maps ⋮ Existence of periodic points near an isolated fixed point with Lefschetz index one and zero rotation for area preserving surface homeomorphisms ⋮ Towards a semi-local study of parabolic invariant curves for fibered holomorphic maps

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