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   1 ; András Szenes  2
@article{10_4007_annals_2012_175_2_4,
author = {Gergely B\'erczi and Andr\'as Szenes},
title = {Thom polynomials of {Morin} singularities},
journal = {Annals of mathematics},
pages = {567--629},
year = {2012},
volume = {175},
number = {2},
doi = {10.4007/annals.2012.175.2.4},
mrnumber = {2877067},
zbl = {1247.58021},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4007/annals.2012.175.2.4/}
}
TY - JOUR AU - Gergely Bérczi AU - András Szenes TI - Thom polynomials of Morin singularities JO - Annals of mathematics PY - 2012 SP - 567 EP - 629 VL - 175 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4007/annals.2012.175.2.4/ DO - 10.4007/annals.2012.175.2.4 LA - en ID - 10_4007_annals_2012_175_2_4 ER -
Gergely Bérczi ; András Szenes. Thom polynomials of Morin singularities. Annals of mathematics, Tome 175 (2012) no. 2, pp. 567-629. doi: 10.4007/annals.2012.175.2.4
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