ABSTRACT: The vector space of chord diagrams and the vector space of
(open) Jacobi diagrams
are important ingredients of the construction of the universal finite
type invariant of knots. In my talk,
I will introduce these vector spaсes and define the frame of a Jacobi
diagram. This concept
allows us to connect Jacobi diagrams to chord diagrams in a new way,
and this connection
leads to an intriguing conjecture. I will formulate this conjecture
and describe a possible way of
finding a supporting evidence. Some parts of this story are presented
in the paper
"Matching of frames of open Jacobi diagrams and chord diagrams" by D.
Antonovych,
V. Makozyuk and V. Tysiachnyi.
Boris Tsygan
(847) 467-6446
Email