✦ LIBER ✦
Equivalence of a bridged link calculus and Kirby's calculus of links on nonsimply connected 3-manifolds
✍ Scribed by Thomas Kerler
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 481 KB
- Volume
- 87
- Category
- Article
- ISSN
- 0166-8641
No coin nor oath required. For personal study only.
✦ Synopsis
We recall an extension of Kirby's calculus on nonsimply connected 3-manifolds given by Fenn and Rourke ( 1979). and the surgery calculus of bridged links from Kerler (1994), which involves only local moves. We give a short combinatorial proof that the two calculi are equivalent, and thus describe the same classes of 3-manifolds. This makes the proofs for the validity of surgery calculi of Fenn and Rourke and Kerler interchangeable.