Rotation Numbers for S² diffeomorphisms

2014/12/28 by John Franks, Franks, John
Engineering · Mathematics · Physics and Astronomy · #Control and Dynamics of Mobile Robots #Dynamical Systems (math.DS) #Experimental and Theoretical Physics Studies #FOS: Mathematics #Mathematics and Applications #math.DS

paper · pdf · doi:10.48550/arxiv.1412.8193

11 pages

arxiv created 2014/12/28 · openalex publication_date 2014/12/28 · arxiv updated 2014/12/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

These largely expository notes describe the properties of the function \cal R which assigns a number to a 4-tuple of distinct fixed points of an orientation preserving homeomorphism or diffeomorphism of S².

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