Milnor link invariants and quantum 3-manifold invariants
β Scribed by N. Habegger; K.E. Orr
- Publisher
- European Mathematical Society
- Year
- 1999
- Tongue
- English
- Weight
- 253 KB
- Volume
- 74
- Category
- Article
- ISSN
- 0010-2571
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## Abstract We investigate the notion of complexity for finitely presented groups and the related notion of complexity for threeβdimensional manifolds. We give twoβsided estimates on the complexity of all the Milnor groups (the finite groups with free action on __S__^3^), as well as for all finite
A (tame) link can be defined as a finite collection of disjoint polygons embedded in Euclidean 3-space. Links are usually represented by plane projections, or diagrams, which can be viewed as 4-regular plane graphs with signed vertices. Then the 3-dimensional concept of ambient isotopy of links can