Abstract

On the basis of the Generalized Pontryagin-Thom construction (see Rimanyi & Szucs, 1998) and its application in computing Thom polynomials (see Rimanyi, 2001) here we introduce a new point of view in multiple-point theory. Using this approach we will first show how to reprove results of Kleiman and his followers (the corank 1 case) then we will prove some new multiple-point formulas which are not subject to the condition of corank ≤ 1. We will concentrate on the case of complex analytic maps N^*→P^*+1, since this was the setting where the most formulas were known before. The scheme of the computation is similar to the one we used in computing Thom polynomials (see Rimanyi, 2001), with an essential difference that here we need to compute nontrivial incidence classes.

Authors