Homological Lagrangian monodromy and Wang exact sequence

Fuente: arXiv
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Autore principale: Sugimoto, Yoshihiro
Natura: Preprint
Pubblicazione: 2024
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author Sugimoto, Yoshihiro
author_facet Sugimoto, Yoshihiro
contents In this paper, we study homological monodromy of a Lagrangian submanifold. We prove that homological Lagrangian monodromy is trivial if Hofer energy of a Hamiltonian isotopy is smaller than the minimum energy of J-holomorphic spheres and discs.
format Preprint
id arxiv_https___arxiv_org_abs_2410_20677
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Homological Lagrangian monodromy and Wang exact sequence
Sugimoto, Yoshihiro
Symplectic Geometry
Differential Geometry
53D05
In this paper, we study homological monodromy of a Lagrangian submanifold. We prove that homological Lagrangian monodromy is trivial if Hofer energy of a Hamiltonian isotopy is smaller than the minimum energy of J-holomorphic spheres and discs.
title Homological Lagrangian monodromy and Wang exact sequence
topic Symplectic Geometry
Differential Geometry
53D05
url https://arxiv.org/abs/2410.20677