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A Basis for the Space if Order 5 Chord Diagrams

Author(s): 
Allison Stacey*, Oregon State University
Talk Abstract: 
In the study of Vassiliev Knot Invariants, the algebra of chord diagrams plays a key role. A chord diagram of order n is a circle with 2n vertices around it with chords through the circle connecting the vertices pairwise. The algebra of such diagrams is isomorphic to closed Jacobi diagrams which are trivalent graphs with 2n vertices and a circle around the edge but here the vertices are inside the circle. I used the relationship between these two algebras to find a basis for each in order 5. I write up my results as art pieces so this talk will include many pieces of my art.
Talk Subject: 
Topology
Talk Type: 
Oral Presentation
Time Slot: 
Saturday, April 2, 2016 - 13:45
Room Number: 
STAG 160