Zobrazeno 1 - 10
of 48
pro vyhledávání: '"Asano, Tomohiro"'
Publikováno v:
Comptes Rendus. Mathématique, Vol 361, Iss G8, Pp 1333-1340 (2023)
We prove that for any element $L$ in the completion of the space of smooth compact exact Lagrangian submanifolds of a cotangent bundle equipped with the spectral distance, the $\gamma $-support of $L$ coincides with the reduced micro-support of its s
Externí odkaz:
https://doaj.org/article/0b2ead7c739f43e0aec9b182048d1ca3
We prove that for any element in the $\gamma$-completion of the space of smooth compact exact Lagrangian submanifolds of a cotangent bundle, if its $\gamma$-support is a smooth Lagrangian submanifold, then the element itself is a smooth Lagrangian. W
Externí odkaz:
http://arxiv.org/abs/2407.00395
Autor:
Asano, Tomohiro
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 with respect to the partial symplectic quasi-state.
Comment: 29 p
Comment: 29 p
Externí odkaz:
http://arxiv.org/abs/2404.15556
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 for an exact Lagrangian cobordism between Lagrangians with conical end
Externí odkaz:
http://arxiv.org/abs/2312.14429
Autor:
Asano, Tomohiro, Ike, Yuichi
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.
Comment: 11 pages. This note was merged into arXiv:2201.02598
Comment: 11 pages. This note was merged into arXiv:2201.02598
Externí odkaz:
http://arxiv.org/abs/2301.10598
Publikováno v:
Comptes Rendus. Mathematique, Volume 361 (2023), pp.1333--1340
We prove that for any element $L$ in the completion of the space of smooth compact exact Lagrangian submanifolds of a cotangent bundle equipped with the spectral distance, the $\gamma$-support of $L$ coincides with the reduced micro-support of its sh
Externí odkaz:
http://arxiv.org/abs/2211.13945
Autor:
Asano, Tomohiro, Ike, Yuichi
Publikováno v:
Math. Ann. (2024)
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 interleaving distance and construct a sheaf quantization of a Hamiltonian homeomo
Externí odkaz:
http://arxiv.org/abs/2201.02598
Autor:
Asano, Tomohiro, Ike, Yuichi
Publikováno v:
Ann. Inst. Fourier 73 (2023), 1533--1587
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 investigate its properties in Tamarkin category. Using the sheaf quanti
Externí odkaz:
http://arxiv.org/abs/2005.05088
Autor:
Asano, Tomohiro, Ike, Yuichi
Publikováno v:
J. Symp. Geom. 18:3 (2020) 613-649
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 the Hamiltonian function. Using the distance, we show a quantitative ver
Externí odkaz:
http://arxiv.org/abs/1712.06847
Autor:
Asano, Tomohiro, Ike, Yuichi
Publikováno v:
Mathematische Annalen; Oct2024, Vol. 390 Issue 2, p2991-3037, 47p