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SUMMARY:Knotoids and virtual knot theory
DTSTART:20170601T101500
DTEND:20170601T113000
DTSTAMP:20260407T111047Z
UID:700342b7148d2c9a8e05d16841b282ed086239c0564dfbcfbc7cd43b
CATEGORIES:Conferences - Seminars
DESCRIPTION:Louis Kauffman (University of Illinois at Chicago)\n\n \n Kn
 otoids are open-ended knot diagrams whose endpoints can be in different re
 gions of the diagram. Two knotoids are said to be isotopic if there is a s
 equence of Reidemeister moves that connects one diagram to the other witho
 ut moving arcs across endpoints. The definition is due to Turaev. We will 
 discuss three dimensional interpretations of knotoids in terms of projecti
 ons of open-ended embeddings of intervals into three dimensional space\, a
 nd we shall discuss a number of invariants of knotoids based on concepts f
 rom virtual knot theory. Knotoids are a new branch of classical knot theor
 y and they promise to provide a way to measure the “knottiness” of ope
 n interval embeddings in three space. This talk is joint work with Nesliha
 n Gugumcu.\n 
LOCATION:CM 113
STATUS:CONFIRMED
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