English

Non-reductive geometric invariant theory and Thom polynomials

Algebraic Geometry 2020-12-14 v1 Algebraic Topology

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.

Keywords

Cite

@article{arxiv.2012.06425,
  title  = {Non-reductive geometric invariant theory and Thom polynomials},
  author = {Gergely Bérczi},
  journal= {arXiv preprint arXiv:2012.06425},
  year   = {2020}
}

Comments

56 pages, 3 Figures

R2 v1 2026-06-23T20:54:19.470Z