An introduction to Handel's homotopy Brouwer theory

2012/08/05 by Roux, Frédéric Le
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1208.0985

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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