Osamu Saeki (IMI, Kyushu University)

Title: Round fold maps of n-dimensional manifolds into (n-1)-dimensional Euclidean space

Abstract: We study those smooth n-dimensional closed manifolds with n ≥ 3 which admit round fold maps into (n−1)-dimensional Euclidean space, i.e. smooth maps with only fold singularities whose critical value sets consist of disjoint spheres of dimension n−2 isotopic to concentric spheres. We also classify such round fold maps up to smooth A–equivalence for n ≥ 4. This is a joint work with Naoki Kitazawa (IMI, Kyushu University).