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Representing links in 3-manifolds¶ by branched coverings of S3

✍ Scribed by Michele Mulazzani; Riccardo Piergallini


Publisher
Springer
Year
1998
Tongue
English
Weight
202 KB
Volume
97
Category
Article
ISSN
0025-2611

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The Lins-Mandel manifolds 6e(b, l, t, 1) are proved to be 2-fold coverings of S 3 branched -over a link. This permits to prove some conjectured properties of these spaces.

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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 th