On moves between branched coverings of S^3: The case of four sheets

Details On moves between branched coverings of S^3: The case of four sheets On moves between branched coverings of S^3: The case of four sheets

2001-09-22

arxiv.org/abs/math/0109164v2

Mathematics

Geometric Topology

63 pages, lots of pstrics and some xypic pictures, based on the author's PhD thesis at GC of CUNY

Scientific paper

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.

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