3 papers
math.GT2026
On submersions with definite folds of manifolds with boundary into Euclidean spaces
Koki Iwakura
Submersions with definite folds are submersions on manifolds with boundary whose restrictions to the boundary are definite fold maps. In this paper, we study differential-topologic…
math.GT2025
Topology of boundary special generic maps into Euclidean spaces
Koki Iwakura
We introduce boundary special generic maps, a class of submersions from manifolds with boundary to Euclidean spaces whose restriction to the boundary has only boundary definite fol…
math.GT2024
Non-singular extensions of horizontal stable fold maps from surfaces to the plane
Koki Iwakura
In this paper, we study the non-singular extension problem of horizontal stable fold maps. This problem asks what conditions ensure the existence of a submersion whose restriction…