72 citations · 158 across the 24 of their papers we have counts for
24 papers
Liouville regular Jordan curves
Tomohiro Asano, Yuichi Ike
We investigate the class of Liouville regular Jordan curves, which was introduced in our previous paper under the phrase "Jordan curves that admit continuous Legendrian lifts". We…
-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…
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…
Regular Lagrangians are smooth Lagrangians
Tomohiro Asano, Stéphane Guillermou, Yuichi Ike +1
We prove that for any element in the -completion of the space of smooth compact exact Lagrangian submanifolds of a cotangent bundle, if its -support is a smooth Lagrangian su…
Tamarkin's separation theorem for non-compact objects in cotangent bundles
Yuichi Ike, Tatsuki Kuwagaki
In this short note, we prove a Tamarkin-type separation theorem for possibly non-compact subsets in cotangent bundles.
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…