Thom Polynomials for Singularities of Maps

Toru Ohmoto ()
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Toru Ohmoto: Waseda University, Department of Pure and Applied Mathematics

Chapter Chapter 9 in Handbook of Geometry and Topology of Singularities VIII, 2026, pp 375-440 from Springer

Abstract: 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 René 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.

Date: 2026
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DOI: 10.1007/978-3-031-99571-2_9

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