#
Embedded Trivalent Graphs and an Infant Conjecture

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Bay Area Topology Seminar, Berkeley, February 15, 2000

Dror Bar-Natan^{1}, Hebrew University and MSRI.
**Abstract:** Taking our motivation from the Chern-Simons-Witten
expectations for the asymptotics of the Reshetikhin-Turaev invariants,
we will state (in very simple terms) an infant conjecture about some
well-behaved measure-valued invariant of embedded trivalent graphs. We
will explain how our conjecture could be relevant for the realization
of the Chern-Simons-Witten expectations, and how our conjecture can be
reduced to the existence of a special invariant measure on some three
copies of any given compact Lie group. Finally we will show that in
some perturbative sense, our conjecture is true and in fact equivalent
to Drinfel'd's theory of associators.

^{1}Joint work with Dylan Thurston, who
should not be held liable for all that will not make sense.

This abstract is at http://www.math.toronto.edu/~drorbn/Talks/UCB-000215/.