%0 Journal Article
%T Regular homotopic deformation of compact surface with boundary and mapping class group
%A Susumu Hirose
%A Akira Yasuhara
%J Mathematics
%D 2009
%I arXiv
%X 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 formula for the number of signed pass moves needed for this regular homotopy is given.
%U http://arxiv.org/abs/0904.0340v1