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AGL(p,C)-valued lattice gauge fieldu on a simplicial complex determines a principalGL(p,C)-bundle  if the plaquette products are sufficiently small with respect to the maximum distortion coefficient of the transporters. A representative cocyclecq for theqth Chern class of  can be computed on each 2q-simplex  by takingcq() to be the intersection number of a certain singular 2q-cubeM with a Schubert-type variety q in the space of allp×p matrices. This reduces to the solution of polynomial equations with coefficients coming fromu and thus avoids numerical integration or cooling-type procedures. An application of this method is suggested for the computation of the topological charge of anSU(3)-valued lattice gauge field on a 4-complex.

The computation of characteristic classes of lattice gauge fields