Tomohiro Asano

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

The rectifiable rectangular peg problem

Tomohiro Asano, Yuichi Ike

We give an affirmative answer to the rectangular peg problem for a large class of continuous Jordan curves that contains all rectifiable curves and Stromquist's locally monotone cu…

math.SG2025

$C^{0}$ -rigidity of Legendrians and coisotropics via sheaf quantization

Tomohiro Asano, Yuichi Ike, Christopher Kuo +1

We prove that in the standard cosphere bundle, for any contact homeomorphism in the closure of the compactly supported contactomorphism group, when the image of a coisotropic subma…

math.SG2025

Regular Lagrangians are smooth Lagrangians

We prove that for any element in the $I^^{3}$ -completion of the space of smooth compact exact Lagrangian submanifolds of a cotangent bundle, if its $I^^{3}$ -support is a smooth Lagrangian…

math.SG2025

Lagrangian cobordism and shadow distance in Tamarkin category

Tomohiro Asano, Yuichi Ike, Wenyuan Li

We study exact Lagrangian cobordisms between exact Lagrangians in a cotangent bundle in the sense of Arnol'd, using microlocal theory of sheaves. We construct a sheaf quantization…

Topological constraints on clean Lagrangian intersections via microlocal sheaf theory

The rectifiable rectangular peg problem

C0-rigidity of Legendrians and coisotropics via sheaf quantization

Regular Lagrangians are smooth Lagrangians

Lagrangian cobordism and shadow distance in Tamarkin category

$C^{0}$ -rigidity of Legendrians and coisotropics via sheaf quantization