45 citations · 144 across the 14 of their papers we have counts for
5 papers · 1 filter
Uniqueness of -Hamiltonians and almost-every-moment Lagrangian disjunction
Yong-Geun Oh
This paper is withdrawn by the author due to a critical error in the proof of the main theorem, Theorem 3.10. (More specifically the identity (5.18) is incorrect in that the $T^*S^…
Locality of continuous Hamiltonian flows and Lagrangian intersections with the conormal of open subsets
Yong-Geun Oh
In this paper, we prove that if a continuous Hamiltonian flow fixes the points in an open subset of a symplectic manifold , then its associated Hamiltonian is constant a…
Topological extension of Calabi invariants and non-simpleness of the area preserving homeomorphism group of the disc
Yong-Geun Oh
This paper has been withdrawn by the author due to a critical error in the proof of Theorem 5.4 on which the proof of the main theorem on the non-simplenss was based.
Floer homology in symplectic geometry and in mirror symmetry
Yong-Geun Oh, Kenji Fukaya
In this article, the authors review what the Floer homology is and what it does in symplectic geometry both in the closed string and in the open string context. In the first case,…
-coerciveness of Moser's problem and smoothing area preserving homeomorphisms
Yong-Geun Oh
In this paper, we establish the -coerciveness of Moser's problem of mapping one smooth volume form to another in terms of the weak topology of measures associated to the volum…