### Leading terms of Thom polynomials and $J$- images

Yoshifumi Ando
Source: Kyoto J. Math. Volume 52, Number 2 (2012), 345-367.

#### Abstract

We give two types of singularities of maps between $4q$-manifolds whose Thom polynomials with integer coefficients have nonvanishing coefficient of Pontrjagin class $P_{q}$. We show that an element of the $J$-image of dimension $4q-1$ has a fold map between $S^{4q-1}$ and can be detected by the leading terms of Thom polynomials of those singularities of an extended map between $D^{4q}$ of the fold map.

First Page:
Primary Subjects: 58K30
Secondary Subjects: 57R45, 58A20
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Permanent link to this document: http://projecteuclid.org/euclid.kjm/1335272983
Digital Object Identifier: doi:10.1215/21562261-1550994
Zentralblatt MATH identifier: 06047793
Mathematical Reviews number (MathSciNet): MR2914880

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