15 citations · 25 across the 12 of their papers we have counts for
11 papers · 1 filter
Topological constraints on clean Lagrangian intersections via microlocal sheaf theory
Tomohiro Asano, Yukihiro Okamoto
Fix a knot in and consider a Lagrangian submanifold of that is isotopic to the conormal bundle of by a compactly supported Hamilton…
-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…
Heavy subsets from microsupports
Tomohiro Asano
We construct partial symplectic quasi-states on a cotangent bundle with the use of microlocal sheaf theory. We also give criteria and characterization for heaviness/superheaviness…
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…
A note on Hamiltonian stability for sheaves
Tomohiro Asano, Yuichi Ike
We show a strong Hamiltonian stability result for a simpler and larger distance on the Tamarkin category. We also give a stability result with support conditions.
The -support as a micro-support
Tomohiro Asano, Stéphane Guillermou, Vincent Humilière +2
We prove that for any element in the completion of the space of smooth compact exact Lagrangian submanifolds of a cotangent bundle equipped with the spectral distance, the -…
Completeness of derived interleaving distances and sheaf quantization of non-smooth objects
Tomohiro Asano, Yuichi Ike
We develop sheaf-theoretic methods to deal with non-smooth objects in symplectic geometry. We show the completeness of a derived category of sheaves with respect to the interleavin…
Sheaf quantization and intersection of rational Lagrangian immersions
Tomohiro Asano, Yuichi Ike
We study rational Lagrangian immersions in a cotangent bundle, based on the microlocal theory of sheaves. We construct a sheaf quantization of a rational Lagrangian immersion and i…
Persistence-like distance on Tamarkin's category and symplectic displacement energy
Tomohiro Asano, Yuichi Ike
We introduce a persistence-like pseudo-distance on Tamarkin's category and prove that the distance between an object and its Hamiltonian deformation is at most the Hofer norm of th…