On the topology of stable maps

Nicolas Dutertre (1) , Toshizumi Fukui (2)

1 LATP - Laboratoire d'Analyse, Topologie, Probabilités
2 Department of Mathematics

We investigate how Viro's integral calculus applies for the study of the topology of stable maps. We also discuss several applications to Morin maps and complex maps.

Keywords: Stable mappings; Morin singularities

Domains: Geometric Topology [math.GT]

Nicolas Dutertre, Toshizumi Fukui. On the topology of stable maps. Journal of the Mathematical Society of Japan, 2014, 66 (1), pp.161-203. ⟨10.2669/jmsj/06610161⟩. ⟨hal-00516856⟩