An introduction to Handel's homotopy Brouwer theory

2012/08/05 by Frédéric Le Roux, Roux, Frédéric Le
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Mathematics and Applications #math.DS

paper · pdf · doi:10.48550/arxiv.1208.0985

arxiv created 2012/08/05 · openalex publication_date 2012/08/05 · arxiv updated 2012/08/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Homotopy Brouwer theory is a tool to study the dynamics of surface homeomorphisms. We introduce and illustrate the main objects of homotopy Brouwer theory, and provide a proof of Handel's fixed point theorem. These are the notes of a mini-course held during the workshop "Superficies en Montevideo" in March 2012.

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