Poster, 2nd European Congress of Mathematics, Budapest, Hungary 21-27 July 1996.
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We give a version of the Euler-Poincare-Hopf theorem for flat connections with isolated singularities for a principal fibre bundle P(M,G) such that dimM = dimG+1, M – a compact oriented, AdG(a) = +1 for a Î G, the Lie algebra g of G has cohomology as a dimG-sphera. I.e. g = R, so(3), sl(2). For details see [43].