Regular homotopic deformation of compact surface with boundary and mapping class group

Details Regular homotopic deformation of compact surface with boundary and mapping class group Regular homotopic deformation of compact surface with boundary and mapping class group

2009-04-02

arxiv.org/abs/0904.0340v1

Mathematics

Geometric Topology

7 pages, 5 figures

Scientific paper

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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