Cobordisms of fold maps and maps with prescribed number of cusps

Tobias Ekholm, Andras Szucs, Tamas Terpai

A generic smooth map of a closed $2k$-manifold into $(3k-1)$-space has a finite number of cusps (${\Sigma }^{1,1}$-singularities). We determine the possible numbers of cusps of such maps.…