Realization of the mapping class group of handlebody by diffeomorphisms

2009/01/15 by Susumu Hirose, Hirose, Susumu
Engineering · Mathematics · #57M60 #57N10 #Advanced Numerical Analysis Techniques #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Robotic Mechanisms and Dynamics

paper · pdf · doi:10.48550/arxiv.0901.2178

openalex publication_date 2009/01/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For the oriented 3-dimensional handlebody constructed from a 3-ball by attaching g 1-handles, it is shown that the natural surjection from the group of orientation preserving diffeomorphisms of it to the mapping class group of it has no section when g is at least 6.

Citations

• The mapping class group cannot be realized by homeomorphisms

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