Braid Family Representatives
نویسندگان
چکیده
After defining reduced minimum braid word and criteria for a braid family representative , different braid family representatives are derived, and a correspondence between them and families of knots and links given in Conway notation is established .
منابع مشابه
2 00 5 Braid Family Representatives
After defining reduced minimum braid word and criteria for a braid family representative , different braid family representatives are derived, and a correspondence between them and families of knots and links given in Conway notation is established.
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A differential geometric characterization of the braid-index of a link is found. After multiplication by 2π, it equals the infimum of the sum of total curvature and total absolute torsion over holonomic representatives of the link. Upper and lower bounds for the infimum of total curvature over holonomic representatives of a link are given in terms of its braid-and bridge-index. Examples showing...
متن کاملm at h . G T ] 1 9 M ay 1 99 9 TOTAL CURVATURES OF HOLONOMIC LINKS TOBIAS
A differential geometric characterization of the braid-index of a link is found. After multiplication by 2π, it equals the infimum of the sum of total curvature and total absolute torsion over holonomic representatives of the link. Upper and lower bounds for the infimum of total curvature over holonomic representatives of a link are given in terms of its braid-and bridge-index. Examples showing...
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