Abstract
We give two types of singularities of maps between 4q-manifolds whose Thom polynomials with integer coefficients have nonvanishing coefficient of Pontrjagin class Pq. We show that an element of the J-image of dimension 4q−1 has a fold map between S4q−1 and can be detected by the leading terms of Thom polynomials of those singularities of an extended map between D4q of the fold map.
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