A combinatorial formula for the Pontrjagin classes

I. M. Gelfand, R. D. Macpherson
1992 Bulletin of the American Mathematical Society  
A combinatorial formula for the Pontrjagin classes of a triangulated manifold is given. The main ingredients are oriented matroid theory and a modified formulation of Chern-Weil theory.
doi:10.1090/s0273-0979-1992-00282-3 fatcat:n6ewlwuusrfk3a42b6odo4gpkm