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28 февраля 2012 M.Chrisman (Monmouth University) « Some Thoughts On Polyak's Conjecture
»
Recently, M. Polyak introduced an operator $ D$ on formal sums of knot diagrams having the
property that if $ F$ is a formal sum of Gauss diagrams, then $ D(F)=0$ (modulo some relations).
Polyak's Conjecture asserts that the converse of this result is also true. In this talk, we will
carefully state Polyak's Conjecture and look at some interesting examples found by computer search.