Yukihiro Okamoto

collaborators

5 papers

math.SG2026

Topological constraints on clean Lagrangian intersections via microlocal sheaf theory

Tomohiro Asano, Yukihiro Okamoto

Fix a knot $K_{0}$ in $R^{3}$ and consider a Lagrangian submanifold $L$ of $T^{*} R^{3}$ that is isotopic to the conormal bundle of $K_{0}$ by a compactly supported Hamilton…

math.SG2026

Topological constraints on clean Lagrangian intersections from $Q$ -valued augmentations

Yukihiro Okamoto

Let $K$ be a knot in $R^{3}$ which has the $(2, q)$ -torus knot for $q \neq = \pm 1$ or the figure-eight knot as a component of connected sum. For its conormal bundle $L_{K}$ in $T…

math.SG2026

Non-contractible loops of Legendrian tori from families of knots

Yukihiro Okamoto, MariÃ¡n Poppr

In the unit cotangent bundle of $R^{3}$ , we consider loops of Legendrian tori arising as families of the unit conormal bundles of smooth knots in $R^{3}$ . In this pap…

math.SG2025

Legendrian non-isotopic unit conormal bundles in high dimensions

Yukihiro Okamoto

For any compact connected submanifold $K$ of $R^{n}$ , let $I^_{K}$ denote its unit conormal bundle, which is a Legendrian submanifold of the unit cotangent bundle of $\mathbb{…

math.SG2025

On knot types of clean Lagrangian intersections in $T^{*} R^{3}$

Yukihiro Okamoto

Let $K_{0}$ and $K$ be knots in $R^{3}$ . Suppose that by a compactly supported Hamiltonian isotopy on $T^{*} R^{3}$ , the conormal bundle of $K_{0}$ is isotopic to a Lagrangi…

Topological constraints on clean Lagrangian intersections via microlocal sheaf theory

Topological constraints on clean Lagrangian intersections from Q-valued augmentations

Non-contractible loops of Legendrian tori from families of knots

Legendrian non-isotopic unit conormal bundles in high dimensions

On knot types of clean Lagrangian intersections in T∗R3

Topological constraints on clean Lagrangian intersections from $Q$ -valued augmentations

On knot types of clean Lagrangian intersections in $T^{*} R^{3}$