Abstract: 
We show that coefficients of
residue formulas for characteristic numbers associated to a smooth
toral action on a manifold can be taken in a quotient field ${\bf
Q}(X_1,\ldots ,X_r).$ This yields canonical identities over the
integers and, reducing modulo two, residue formulas for Stiefel
Whitney numbers.

1. Departamento de Álgebra
   Geometría y Topología
   Universidad de Málaga
   Ap. 59
   29080 Málaga, Spain