Thom polynomials of Morin singularities

Gergely Bérczi; András Szenes

doi:https://doi.org/10.4007/annals.2012.175.2.4

Pages 567-629 from Volume 175 (2012), Issue 2 by Gergely Bérczi , András Szenes

Abstract

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 $d=6$.

Milestones

Received: 5 December 2008
Revised: 5 July 2011
Accepted: 29 August 2011
Published online: 1 March 2012

Authors

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