
TL;DR
This paper provides an accessible overview of Thom polynomials, explaining their role in expressing singularity loci in terms of invariants through examples, aimed at readers new to the topic.
Contribution
It offers a primer on Thom polynomials, illustrating key concepts and examples to facilitate understanding of their applications in singularity theory.
Findings
Thom polynomials relate singularity loci to invariants.
Examples demonstrate how to compute Thom polynomials.
The survey clarifies the conceptual framework for Thom polynomials.
Abstract
The Thom polynomial of a singularity expresses the cohomology class of the -singularity locus of a map in terms of the map's simple invariants. In this informal survey -- based on two lectures given at the Isaac Newton Institute in 2024 -- we explore various Thom polynomial concepts with examples.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Combinatorial Mathematics · Mathematics and Applications
