Free Knots and Irreducibly Odd Graphs

Start: 03/23/2011 - 4:15pm
End  : 03/23/2011 - 5:00pm


Allison Henrich (Seattle University)


Recently, Vassily Manturov introduced the concept of a free knot.  Free knots are knot-like objects that are closely related to Turaev's virtual strings and, more generally, to Kauffman's virtual knots. In this talk, we will learn about free knots and a sufficient condition for a free knot diagram to achieve its minimal crossing number. In particular, minimal diagram free knots are often associated to graphs that are irreducibly odd. We explore the structure of irreducibly odd graphs as a class of graphs and see how this structure gives us information about free knots.

Roberts North 15, Claremont McKenna College