3 citations · 5 across the 8 of their papers we have counts for
8 papers · 1 filter
Realizing crosscap transpositions as monodromies of singular fibrations
Kenta Hayano
We introduce a new type of singularity for smooth maps from -manifolds to surfaces, called an -singularity, whose critical locus is a circle contained in a single fiber. We s…
Combinatorial construction of symplectic 6-manifolds via bifibration structures
Kenta Hayano
A bifibration structure on a -manifold is a map to either the complex projective plane or a -bundle over , such that its composition w…
Characterization of generic parameter families of constraint mappings in optimization
Naoki Hamada, Kenta Hayano, Hiroshi Teramoto
The purpose of this paper is to understand generic behavior of constraint functions in optimization problems relying on singularity theory of smooth mappings. To this end, we will…
Classification of genus- holomorphic Lefschetz pencils
Noriyuki Hamada, Kenta Hayano
In this paper, we classify relatively minimal genus- holomorphic Lefschetz pencils up to smooth isomorphism. We first show that such a pencil is isomorphic to either the pencil…
Unchaining surgery and topology of symplectic 4-manifolds
R. Inanc Baykur, Kenta Hayano, Naoyuki Monden
We study a symplectic surgery operation we call unchaining, which effectively reduces the second Betti number and the symplectic Kodaira dimension at the same time. Using unchainin…
Stability of non-proper functions
Kenta Hayano
The purpose of this paper is to give a sufficient condition for (strong) stability of non-proper smooth functions (with respect to the Whitney -topology). We show that a…