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Quadrisecants and quadrisecant approximations of knots
by
Gyo Taek Jin
Korea Advanced Institute of Science and Technology
We discuss about the minimal number of quadrisecants of knots with small crossing number. The polygonal knot inscribed in a given knot at its quadrisecant points is called the quadrisecant approximation of the knot. We conjecture that every knot and its quadrisecant approximation have the same knot type.
Date received: February 11, 2005
Copyright © 2005 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # capo-35.