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SUMMARY:Diagram Uniqueness for Highly Twisted Plats - Yoav Moriah (Technio
 n - Israel Institute of Technology)
DTSTART:20170131T100000Z
DTEND:20170131T110000Z
UID:TALK70479@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:<span>         Co-author: Jessica Purcell 		(Monash U. Melbour
 ne Australia)        <br></span><span><br>In this paper we prove that if a
  knot or link has a sufficiently  complicated plat projection\, then that 
 plat projection is unique. More  precisely\, if a knot or link has a 2m-pl
 at projection\, where m is at  least 3\, each twist region of the plat con
 tains at least three  crossings\, and n\, the length of the plat\, satisfi
 es n > 4m(m &minus\; 2)\,  then such a projection is unique up to obvious 
 rotations. In particular\,  this projection gives a canonical form for suc
 h knots and links\, and  thus provides a classification of these links.</s
 pan>
LOCATION:Seminar Room 1\, Newton Institute
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