Strasbourg Preps
June-15-11
11:33 AM
Idea 1.  A Fresh Look at the Aarhus Integral.
Idea 2.  LMO for the un-imaginative.
Abstract. The construction of the LMO universal finite type invariant of integral homology spheres, either following the original Le-Murakami-Ohtsuki definition or following the BN-Garoufalidis-Rozansky-Thurston "Aarhus Integral", requires a creative leap; something that is a little more than cooking following a well known recipe. I will try to explain how these creative leaps can be avoided if one holds the right cookbook, with a crucial page about the "projectivization paradigm".
The only problem with this lovely idea is that the math is unsound or at least unbaked.  Even when restricted to links with a fixed linking matrix and to the complimentary space of the struts, the Arhus integral is not a graded map.
Idea 3.  Some w-Calculations. Perhaps title "10 Equations and a Playground".
See also 2011-05/A Tale of 9 Equations.