On moves between branched coverings of S^3: The case of four sheets
Geometric Topology
2007-05-23 v2
Abstract
A combinatorial presentation of closed orientable 3-manifolds as bi-tricolored links is given together with two versions of a calculus via moves to manipulate bi-tricolored links without changing the represented manifold. That is, we provide a finite set of moves sufficient to relate any two manifestations of the same 3-manifold as a simple 4-sheeted branched covering of S^3.
Cite
@article{arxiv.math/0109164,
title = {On moves between branched coverings of S^3: The case of four sheets},
author = {Nikos Apostolakis},
journal= {arXiv preprint arXiv:math/0109164},
year = {2007}
}
Comments
63 pages, lots of pstrics and some xypic pictures, based on the author's PhD thesis at GC of CUNY