13 citations · 21 across the 5 of their papers we have counts for
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Liftable braid factorizations from line arrangements: Hironaka's relations and a Zariski pair
Atsuhide Mori
We realize Hironaka's generalized lantern relations by lifting positive braid factorizations. For a nonpencil real line arrangement with no parallel lines, we construct a family of…
Planar Contact Structures with Calabi-Yau Fillings and Topological Quantum Computation
Atsuhide Mori
We study planar openbooks obtained by lifting braids through branched covers of D^2, together with the quantum operations in the Ising representation. We give a criterion for the S…
Lefschetz fibrations on the Milnor fibers of cusp and simple elliptic singularities
Naohiko Kasuya, Hiroki Kodama, Yoshihiko Mitsumatsu +1
We show that the total space of the Milnor fibration associated with any cusp or simple elliptic singularity in complex three variables admits an -parametric genus-one Lefsche…
A note on Mitsumatsu's construction of a leafwise symplectic foliation
Atsuhide Mori
Mitsumatsu constructed leafwise symplectic structures of certain codimension one foliations of the 5-sphere. This inspired the present author to improve his result on convergence o…
The Reeb foliation arises as a family of Legendrian submanifolds at the end of a deformation of the standard S^3 in S^5
Atsuhide Mori
We realize the Reeb foliation of S^3 as a family of Legendrian submanifolds of the unit S^5 \subset C^3, Moreover we construct a deformation of the standard contact S^3 in S^5, via…
On the violation of Thurston-Bennequin inequality for a certain non-convex hypersurface
Atsuhide Mori
We show that any open subset of a contact manifold of dimension greater than three contains a certain non-convex hypersurface violating the Thurston-Bennequin inequality.
Reeb foliations on S^5 and contact 5-manifolds violating the Thurston-Bennequin inequality
Atsuhide Mori
This article describes the following results which relate to each other; i) convergence of high dimensional contact structure to codimension one foliation with Reeb component, ii)…