The framed braid group and 3-manifolds
Ki Hyoung Ko, Lawrence Smolinsky
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Source: Crossref
Published: Jun 1, 1992
DOI: 10.1090/s0002-9939-1992-1126197-1
Open original source ↗Source abstract
The framed braid group on n n strands is defined to be a semidirect product of the braid group B n {B_n} and Z n {{\mathbf {Z}}^n} . Framed braids represent 3 3 -manifolds in a manner analogous to the representation of links by braids. Consider two framed braids equivalent if they represent homeomorphic 3 3 -manifolds. The main result of this paper is a Markov type theorem giving moves that generate this equivalence relation.
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