On higher weight analogs of the Steinberg relation, by Thomas Wenger

In this paper we consider higher weight analogs of the Steinberg relation when rational K-theory is calculated by a cochain complex supporting a product. The universal scheme on which such questions can be asked is the projective line minus three points over the rational integers. The problem then translates into questions about the structure of the motivic fundamental group of this variety. We approach it through Ihara's description of the Galois image in the Lie algebra of derivations on the Lie algebra of the geometric fundamental group with respect to a suitable base-point.


Thomas Wenger <wengerth@math.northwestern.edu>