REPRESENTING LINKS IN 3-MANIFOLDS BY BRANCHED-COVERINGS OF S-3

Authors
MULAZZANI M PIERGALLINI R
Citation
M. Mulazzani et R. Piergallini, REPRESENTING LINKS IN 3-MANIFOLDS BY BRANCHED-COVERINGS OF S-3, Manuscripta mathematica, 97(1), 1998, pp. 1-14
Citations number
13
Categorie Soggetti
Mathematics,Mathematics
Journal title
Manuscripta mathematica → ACNP
ISSN journal
00252611
Volume
97
Issue
1
Year of publication
1998
Pages
1 - 14
Database
ISI
SICI code
0025-2611(1998)97:1<1:RLI3BB>2.0.ZU;2-X
Abstract
We introduce a planar coloured-diagram representation of links in 3-ma nifolds given as branched coverings of the 3-sphere. We also prove an equivalence theorem based on local moves and the existence of a univer sal configuration for such representation. As an application we give u nified proofs of two different results on existence of fibered links i n 3-manifolds.