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20112026
most citedInjectivity radius lower bound of convex sum of tame Riemannian metrics and applications to symplectic topology

2 citations · 2 across the 14 of their papers we have counts for

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math.SG2026

Non-unital monoidal category of contact manifolds and Legendrian correspondence

Yong-Geun Oh, Junhyuk Park

There are two purposes of the present paper which are interrelated. The first goal is to construct the structure of a non-unital monoidal category of contact mani…

math.SG2026

Metriplectic dynamical systems on contact manifolds

Philip J. Morrison, Yong-Geun Oh

Flows on symplectic, Poisson, contact, and metriplectic manifolds are reviewed in order to describe our main result, which is to associate a natural metriplectic dynamical system o…

math.SG2026

Stratifications associated to generic closed two-forms and stratified spaces

Taesu Kim, Yong-Geun Oh

Jae-Suk Park and the second-named author introduce the deformation problem of coisotropic submanifolds of a symplectic manifold as the study of Mauer-Cartan moduli problem of an $L…

math.SG2025

Strict contactomorphisms are scarce

Yong-Geun Oh, Yasha Savelyev

The notion of non-projectible contact forms on a given compact manifold is introduced by the first-named author in [Ohb], the set of which he also shows is a residual subset of…

math.SG2025

Leafwise de Rham cohomology of generic Reeb foliations

Yong-Geun Oh

In this paper, we prove that there exists a residual subset of contact forms (if any) on any compact connected orientable manifold for which the foliation de Rham cohomolog…

math.SG2024

Fukaya's immersed Lagrangian Floer theory and microlocalization of Fukaya category

Yong-Geun Oh, Yat-Hin Suen

Let be the Fukaya category in the Fukaya's immersed Lagrangian Floer theory \cite{fukaya:immersed} which is generated by immersed Lagrangian submanifolds wit…

math.SG2024

Simplicity of the contactomorphism group of finite regularity

Yong-Geun Oh

For a given coorientable contact manifold , we consider the group consisting of contactomorphisms with compact support…

math.SG2024

Corrigendum of "Construction of Kuranishi structures on the moduli spaces of pseudo holomorphic disks I, Surveys in Differential Geometry XXII (2018), 133-190"

Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta +1

This is a corrigendum of Lemma 9.1 of the paper [FOOO3] in the title. This lemma is not correct as pointed out by A. Daemi and a referee of the paper [DF]. The corrigendum does not…

math.SG2011

Partial collapsing degeneration of Floer trajectories and adiabatic gluing

Yong-Geun Oh, Ke Zhu

We study partial collapsing degeneration of Hamiltonian-perturbed Floer trajectories for an adiabatic -family and its reversal adiabatic gluing, as the prototype of th…