Regular homotopic deformation of compact surface with boundary and mapping class group
Geometric Topology
2009-04-03 v1
Abstract
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.
Cite
@article{arxiv.0904.0340,
title = {Regular homotopic deformation of compact surface with boundary and mapping class group},
author = {Susumu Hirose and Akira Yasuhara},
journal= {arXiv preprint arXiv:0904.0340},
year = {2009}
}
Comments
7 pages, 5 figures