Thom polynomials of Morin singularities

Abstract

We prove a formula for Thom polynomials of Morin (or A_d) singularities in any codimension. We use a combination of the test-curve method of Porteous, and the localization methods in equivariant cohomology. Our formulas are independent of the codimension, and they are computationally efficient for d less than 7.

Latex, 70 pages, details added and misprints corrected

References in corpus (1)

• Towards non-reductive geometric invariant theory

Cited by in corpus (2)

• Thom polynomials and Schur funcions: the singularities $A_3(-)$
• Thom polynomials and Schur functions: towards the singularities $A_i(-)$