Realization of the mapping class group of handlebody by diffeomorphisms
classification
🧮 math.GT
keywords
groupclassdiffeomorphismshandlebodymappingattachingballconstructed
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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.
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