2 citations · 2 across the 14 of their papers we have counts for
14 papers
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…
Quantifying information flow along a stochastic trajectory
Yongjae Oh, Euijoon Kwon, Yongjoo Baek
Stochastic information flow (SIF) quantifies information flow at the trajectory level, overcoming the limitations of conventional symmetric, ensemble-averaged measures. However, co…
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…
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…
Contact triad connection of contact manifolds in almost contact moving frame
Yong-Geun Oh
The notion of \emph{contact triad connection} on contact triads was introduced by Wang and the present author in early 2010's from scratch as the contact analog to the…
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…
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…
Thermodynamic reduction of contact dynamics
Hyun-Seok Do, Yong-Geun Oh
A universal algorithm to derive a macroscopic dynamics from the microscopic dynamical system via the averaging process and symplecto-contact reduction was introduced by Jin-wook Li…
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…
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…
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…
Injectivity radius lower bound of convex sum of tame Riemannian metrics and applications to symplectic topology
Jaeyoung Choi, Yong-Geun Oh
Motivated by the aspect of large-scale symplectic topology, we prove that for any pair of complete Riemannian metrics of bounded curvature and \emph{of injectivity ra…
Nonequilibrium thermodynamics as a symplecto-contact reduction and relative information entropy
Jin-wook Lim, Yong Geun Oh
Both statistical phase space (SPS), which is of -body particle system, and kinetic theory phase space (KTPS), which is the cotangent bundle $T^*\mathcal P…
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…