An introduction to Handel's homotopy Brouwer theory

Frédéric Le Roux (1)

1 IMJ - Institut de Mathématiques de Jussieu

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.

Domaines: Systèmes dynamiques [math.DS]

Frédéric Le Roux. An introduction to Handel's homotopy Brouwer theory. 2012. ⟨hal-00722827⟩