✦ LIBER ✦
Coloured knots and coloured graphs representing 3-fold simple coverings of %plane1D;54A;3
✍ Scribed by Mari Rita Casali
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 525 KB
- Volume
- 137
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
✦ Synopsis
It is well-known that every closed orientable 3-manifold M 3 is the 3-fold simple covering M3(K,o)) of S 3 branched over a knot K: hence, M 3 may be visualized by the associated coloured knot (K, co). On the other hand, PL-manifolds of arbitrary dimension may be represented by coloured graphs, via pseudosimplicial triangulations. The present paper produces an algorithm to construct a 4-coloured graph representing M3(K, co), directly 'drawn over' the coloured knot (K, o)).