Secondary invariants and chiral anomalies of basic Dirac families

AbstractThe theory of characteristic classes of foliated bundles is applied to the study of a class of geometric Dirac operators. For a foliation of even codimension with minimally immersed leaves on the base, the nature of chiral anomalies is examined in view of the cohomology of the truncated Weil algebra. A foliated Wess-Zumino term is defined and for certain cases the homotopy groups of the gauge group of the foliation are determined