4 papers
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…
Constraint Qualification for Generic Parameter Families of Constraints in Optimization
Naoki Hamada, Kenta Hayano, Hiroshi Teramoto
Constraint qualifications (CQs) are central to the local analysis of constrained optimization. In this paper, we completely determine the validity of the four classical CQs -- LICQ…
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…