45 citations · 130 across the 9 of their papers we have counts for
4 papers · 1 filter
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…
Mini-max theory, spectral invariants and geometry of the Hamiltonian diffeomorphism group
Yong-Geun Oh
In this paper, we first 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…
An existence theorem, with energy bounds, of Floer's perturbed Cauchy-Riemann equation with jumping discontinuity
Yong-Geun Oh
This is a sequel to the paper [Oh5] (or ArXiv:math.SG/0206092). The main purpose of the paper is to give the proof of an existence theorem, with energy bounds, of certain pseudo-ho…
Normalization of the Hamiltonian and the action spectrum
Yong-Geun Oh
In this paper, we prove that the two well-known natural normalizations of Hamiltonian functions on the symplectic manifold canonically relates the action spectra of differe…