Thom polynomials of Morin singularities


We prove a formula for Thom polynomials of $A_d$ singularities in any codimension. We use a combination of the test-curve model of Porteous, and the localization methods in equivariant cohomology. Our formulas are independent of the codimension, and are computationally effective up to $d=6$.


Gergely Bérczi

Mathematical Institute, 24-29 St Giles, Oxford OX1 3LB, England

András Szenes

Mathematics Institute, Budapest University of Technology, Budapest 1111, Hungary

Current address:

Section de mathématiques, Université de Genève, 2-4 rue du Lièvre, Case postale 64, CH-1211 Genève 4, Switzerland