Non-reductive geometric invariant theory and Thom polynomials

2020/12/11 by Gergely Bérczi, Bérczi, Gergely · 1 citation
Mathematics · #14L24 #32S20 #55N91 #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2012.06425

openalex publication_date 2020/12/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We combine recently developed intersection theory for non-reductive geometric invariant theoretic quotients with equivariant localisation to prove a formula for Thom polynomials of Morin singularities. These formulas use only toric combinatorics of certain partition polyhedra, and our new approach circumvents the poorly understood Borel geometry of existing models.

Citations

• Thom polynomials and Schur functions I

Cited by

• Higher characteristic classes of multisingularity loci

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