Some Feynman diagrams in pure algebra

I will explain how the computation of compositions of maps of a certain natural class, from one polynomial ring into another, naturally leads to a certain composition operation of quadratics and to Feynman diagrams. I will also explain, with very little detail, how this is used in the construction of some very well-behaved poly-time computable knot polynomials.

Joint work with Roland van der Veen.

See also: http://www.math.toronto.edu/~drorbn/Talks/Bonn-200120/ [4]