Gyo Taek Jin
Published 2000-01-15, updated 2001-04-18Version 2
An upper bound of the superbridge index of the connected sum of two knots is given in terms of the braid index of the summands. Using this upper bound and minimal polygonal presentations, we give an upper bound in terms of the superbridge index and the bridge index of the summands when they are torus knots. In contrast to the fact that the difference between the sum of bridge indices of two knots and the bridge index of their connected sum is always one, the corresponding difference for the superbridge index can be arbitrarily large.
Comments: 14 pages, 5 figures, 1 table
Journal: Journal of Knot Theory and its Ramifications, vol.9, no.5 (2000) 669-682
The symplectic Floer homology of composite knots
Upper bounds in the Ohtsuki-Riley-Sakuma partial order on 2-bridge knots
A criterion for the Legendrian simplicity of the connected sum
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