  Baker and Richter construct a remarkable $A_\infty$ ring-spectrum $M\Xi$
whose elements possess characteristic numbers associated to quasisymmetric
functions; its relations, on one hand to the theory of noncommutative formal
groups, and on the other to the theory of omnioriented (quasi)toric manifolds
[in the sense of Buchstaber, Panov, and Ray], seem worth investigating.
