# Does combinatorial formula for the Pontrjagin classes exist?

Gelʹfand, I. M. and MacPherson, R. D. "A combinatorial formula for the Pontrjagin classes" Bull. Amer. Math. Soc. (N.S.) 26 (1992), no. 2, 304–309.

In the above paper the authors claimed a construction of combinatorial formula for the Pontrjagin classes. According to mathscinet review: MR1129313, it seems the construction is not really local. So the existence of such formula is still open?

Also for first Pontrjagin class, do I understand correctly that "Gabrièlov, A. M.; Gelʹfand, I. M.; Losik, M. V. A local combinatorial formula for the first Pontrjagin class" is a well know result? If so is there any English paper gave detailed constructions?