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The Second Hull of a Knotted Curve

by

John Sullivan

May 7, 2001
12:10 pm
Bailey Hall


Abstract:

We define the second hull of a space curve, consisting of those points which are doubly enclosed by the curve in a certain sense. We prove that any knotted curve has nonempty second hull. We relate this to recent results on thick knots, quadrisecants, and minimal surfaces.

Let Bill Zwicker know whether or not you'll be joining us for lunch at 1:15 PM in the Mathematics common room.


For additional information, send e-mail to math@union.edu or call (518) 388-6246.
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