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SUMMARY:Building Gordian links - Wöden Kusner (None / Other)
DTSTART:20230822T153000Z
DTEND:20230822T160000Z
UID:TALK204007@talks.cam.ac.uk
DESCRIPTION:Given a sufficiently nice embedded space curve\, we can thicke
 n it into a physical "rope". A pair of physical configurations might be ca
 lled "Gordian" if there is no physical isotopy that takes one to the other
 . It is an (old) open problem to describe a Gordian Unknot: a physical tri
 vial knot that cannot be unknotted.We will examine some features of config
 urations of physical links and a notion of "extrusion". This is different 
 from the topological sweep-out perspective that Coward and Hass used to fi
 rst describe a Gordian split link. Some advantages appear with our shifted
  view\; we trade a general statement about knots and surfaces for packing 
 density bounds and rigidity/transversality statements\, severely constrain
 ing the character of certain physical isotopies.Related to work with Rob K
 usner\, Greg Buck.
LOCATION:External
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