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2-parameter width for knots in the 3-sphere


Speaker: Abigail Thompson, UC Davis
Location: 2112 MSB
Start time: Wed, Mar 1 2006, 4:10PM

We extend the idea of width for a knot in the 3-sphere to a 2-parameter family of planes. We show that, unlike standard width, there are only a finite number of knot types with bounded 2-parameter width; only the trefoil and unknot have 2-width less than 10. This is joint work with J. Hass and J.H. Rubinstein.