An introduction to Handel's homotopy Brouwer theory
Fr\'ed\'eric Le Roux (IMJ)
TL;DR
This paper introduces homotopy Brouwer theory as a method for analyzing surface homeomorphisms and provides a proof of Handel's fixed point theorem, serving as educational notes from a mini-course.
Contribution
It offers an accessible introduction to homotopy Brouwer theory and includes a proof of Handel's fixed point theorem, enhancing understanding of surface dynamics.
Findings
Introduction of key homotopy Brouwer concepts
Proof of Handel's fixed point theorem
Educational exposition for surface dynamics
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMathematics and Applications · Mathematical Dynamics and Fractals