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arXiv · 2502.16727

Thom polynomials for singularities of maps

Toru Ohmoto
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Abstract

This is a gentle introduction to a general theory of universal polynomials associated to classification of map-germs, called Thom polynomials. The theory was originated by Ren\'e Thom in the 1950s and has since been evolved in various aspects by many authors. In a nutshell, this is about intersection theory on certain moduli spaces, say `classifying spaces of mono/multi-singularities of maps', which provides consistent and deep insights into both classical and modern enumerative geometry with many potential applications.

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Toru Ohmoto. 2025-02-23. Thom polynomials for singularities of maps. https://doi.org/10.1007/978-3-031-99571-2

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