45 citations · 130 across the 9 of their papers we have counts for
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Construction of spectral invariants of Hamiltonian paths on closed symplectic manifolds
Yong-Geun Oh
In this paper, we develop a mini-max theory of the action functional over the semi-infinite cycles via the chain level Floer homology theory and construct spectral invariants of Ha…
Spectral invariants, analysis of the Floer moduli spaces and geometry of the Hamiltonian diffeomorphism group
Yong-Geun Oh
In this paper, we apply spectral invariants, constructed in [Oh5,8], to the study of Hamiltonian diffeomorphisms of closed symplectic manifolds . Using spectral invariants,…
Length minimizing property, Conley-Zehnder index and -perturbations of Hamiltonian functions
Yong-Geun Oh
The main purpose of this paper is to study the length minimizing property of Hamiltonian paths on closed symplectic manifolds such that there are no spherical homology clas…
Geometry of coisotropic submanifolds in symplectic and Kähler manifolds
Yong-Geun Oh
The first purpose of this paper is to generalize the well-known Maslov indices of maps of open Riemann surfaces with boundary lying on Lagrangian submanifolds to maps with boundary…
Deformations of coisotropic submanifolds and strong homotopy Lie algebroids
Yong-Geun Oh, Jae-Suk Park
In this paper, we study deformations of coisotropic submanifolds in a symplectic manifold. First we derive the equation that governs deformations of coisotropic submanif…
Spectral invariants and length minimizing property of Hamiltonian paths
Yong-Geun Oh
In this paper we provide a criterion for the quasi-autonomous Hamiltonian path (``Hofer's geodesic'') on arbitrary closed symplectic manifolds to be length minimizing in it…