Discussion on alexs-results-2-spun-trefoil
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marg...@math.utah.edu
Apr 27, 2008, 11:12:26 PM4/27/08
to knot theory reu
Hi Alex,
Great pictures!
As per my last post, we really could have labelled 6 points: the 3
crossings, plus the three places where the tangent to the knot is
vertical.
Is there a way to characterize these "critical points" as disks or
bands? Notice that the first vertical tangent is a band, and the last
two are disks.
Since the Euler characteristic of a sphere is 2, this would give us an
interesting formula relating certain kinds of points on a knot. What
is that formula?
Dan
Great pictures!
As per my last post, we really could have labelled 6 points: the 3
crossings, plus the three places where the tangent to the knot is
vertical.
Is there a way to characterize these "critical points" as disks or
bands? Notice that the first vertical tangent is a band, and the last
two are disks.
Since the Euler characteristic of a sphere is 2, this would give us an
interesting formula relating certain kinds of points on a knot. What
is that formula?
Dan
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