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math.GT2009
Regular homotopic deformation of compact surface with boundary and mapping class group
Susumu Hirose, Akira Yasuhara
A necessary and sufficient algebraic condition for a diffeomorphism over a surface embedded in the 3-sphere to be induced by a regular homotopic deformation is discussed, and a for…
math.GT2009
Realization of the mapping class group of handlebody by diffeomorphisms
Susumu Hirose
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 diffe…