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arXiv · 2012.06425

Non-reductive geometric invariant theory and Thom polynomials

Gergely Bérczi
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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.

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Gergely Bérczi. 2020-12-11. Non-reductive geometric invariant theory and Thom polynomials. https://arxiv.org/abs/2012.06425

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