Regular homotopic deformation of compact surface with boundary and mapping class group
classification
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keywords
regulardeformationhomotopicsurfacealgebraicboundaryclasscompact
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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.
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