THE FRAMED BRAID GROUP AND 3-MANIFOLDS

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The framed braid group on n strands is defined to be a semidirect product of the braid group B(n) and Z(n) . Framed braids represent 3-manifolds in a manner analogous to the representation of links by braids. Consider two framed braids equivalent if they represent homeomorphic 3-manifolds. The main result of this paper is a Markov type theorem giving moves that generate this equivalence relation.
Publisher
AMER MATHEMATICAL SOC
Issue Date
1992-06
Language
ENG
Article Type
Article
Keywords

CALCULUS; LINKS

Citation

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, v.115, no.2, pp.541 - 551

ISSN
0002-9939
DOI
10.2307/2159278
URI
http://hdl.handle.net/10203/65887
Appears in Collection
MA-Journal Papers(저널논문)
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