The framed braid group and $3$-manifolds
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- by Ki Hyoung Ko and Lawrence Smolinsky PDF
- Proc. Amer. Math. Soc. 115 (1992), 541-551 Request permission
Abstract:
The framed braid group on $n$ strands is defined to be a semidirect product of the braid group ${B_n}$ and ${{\mathbf {Z}}^n}$. 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.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 115 (1992), 541-551
- MSC: Primary 57N10; Secondary 20F36, 57M07
- DOI: https://doi.org/10.1090/S0002-9939-1992-1126197-1
- MathSciNet review: 1126197