Yukihiro Okamoto

activity

20222026

most citedToward a topological description of Legendrian contact homology of unit conormal bundles

1 citations · 1 across the 6 of their papers we have counts for

collaborators

6 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

Non-contractible loops of Legendrian tori from families of knots

Yukihiro Okamoto, Marián 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

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.SG2024

Legendrian non-isotopic unit conormal bundles in high dimensions

Yukihiro Okamoto

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

math.SG2023

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…

math.SG2022★ 1 cited

Toward a topological description of Legendrian contact homology of unit conormal bundles

Yukihiro Okamoto

For a smooth compact submanifold $K$ of a Riemannian manifold $Q$ , its unit conormal bundle $Λ_{K}$ is a Legendrian submanifold of the unit cotangent bundle of $Q$ with a canonical c…

Topological constraints on clean Lagrangian intersections via microlocal sheaf theory

Non-contractible loops of Legendrian tori from families of knots

Topological constraints on clean Lagrangian intersections from Q-valued augmentations

Legendrian non-isotopic unit conormal bundles in high dimensions

On knot types of clean Lagrangian intersections in T∗R3

Toward a topological description of Legendrian contact homology of unit conormal bundles

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

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