Yong–geun Oh
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Mathematics
Yong–geun Oh's Degrees
- PhD Mathematics Princeton University
- Masters Mathematics Seoul National University
- Bachelors Mathematics Seoul National University
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(Suggest an Edit or Addition)Yong–geun Oh's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Lagrangian intersection floer theory : anomaly and obstruction (2009) (907)
- On positive multi-lump bound states of nonlinear Schrödinger equations under multiple well potential (1990) (430)
- Existence of Semiclassical Bound States of Nonlinear Schrödinger Equations with Potentials of the Class (V)a (1988) (410)
- Lagrangian Intersection Floer Theory: Anomaly and Obstruction, Part I (2010) (394)
- Floer cohomology of lagrangian intersections and pseudo‐holomorphic disks I (1993) (320)
- Lagrangian Floer theory on compact toric manifolds II: bulk deformations (2008) (262)
- Second variation and stabilities of minimal lagrangian submanifolds in Kähler manifolds (1990) (232)
- Floer cohomology and disc instantons of Lagrangian torus fibers in Fano toric manifolds (2003) (232)
- Volume minimization of Lagrangian submanifolds under Hamiltonian deformations (1993) (209)
- Zero-loop open strings in the cotangent bundle and Morse homotopy (1997) (207)
- Floer cohomology, spectral sequences, and the Maslov class of Lagrangian embeddings (1996) (162)
- Cauchy problem and Ehrenfest's law of nonlinear Schrödinger equations with potentials (1989) (129)
- Symplectic topology as the geometry of action functional. I. Relative Floer theory on the cotangent bundle (1997) (127)
- Construction of spectral invariants of Hamiltonian paths on closed symplectic manifolds (2004) (127)
- THE GROUP OF HAMILTONIAN HOMEOMORPHISMS AND C 0 -SYMPLECTIC TOPOLOGY (2004) (119)
- Chain level Floer theory and Hofer's geometry of the Hamiltonian diffeomorphism group (2001) (88)
- Deformations of coisotropic submanifolds and strong homotopy Lie algebroids (2003) (84)
- Symplectic topology as the geometry of action functional, II: Pants product and cohomological invariants (1999) (78)
- Stability of semiclassical bound states of nonlinear Schrödinger equations with potentials (1989) (78)
- Toric Degeneration and Nondisplaceable Lagrangian Tori in S2×S2 (2012) (71)
- Lagrangian Intersection Floer Theory (2009) (69)
- Floer cohomology of Lagrangian intersections and pseudo-holomorphic disks, III: Arnold-Givental Conjecture (1995) (69)
- Removal of boundary singularities of pseudo-holomorphic curves with Lagrangian boundary conditions (1992) (65)
- Addendum to “Floer Cohomology of Lagrangian Intersections and Pseudo-Holomorphic Discs, I” (1995) (63)
- Lagrangian floer theory and mirror symmetry on compact toric manifolds (2010) (61)
- On the structure of pseudo-holomorphic discs with totally real boundary conditions (1997) (56)
- Relative Floer and quantum cohomology and the symplectic topology of Lagrangian submanifolds (2005) (53)
- Mean curvature vector and symplectic topology of Lagrangian submanifolds in Einstein-Kähler manifolds (1994) (53)
- Floer cohomology of lagrangian intersections and pseudo‐holomorphic disks II: (ℂ Pn), ℝpn (1993) (51)
- Lagrangian Intersection Floer Theory, Part 2: Anomaly and Obstruction, Part II (2010) (48)
- Antisymplectic involution and Floer cohomology (2009) (47)
- Technical details on Kuranishi structure and virtual fundamental chain (2012) (46)
- Spectral invariants, analysis of the Floer moduli spaces and geometry of the Hamiltonian diffeomorphism group (2004) (45)
- Spectral Invariants with Bulk, Quasi-Morphisms and Lagrangian Floer Theory (2011) (44)
- Symplectic Topology and Floer Homology (2015) (43)
- LECTURES ON FLOER THEORY AND SPECTRAL INVARIANTS OF HAMILTONIAN FLOWS (2006) (43)
- The dynamics of coupled planar rigid bodies. Part I: reduction, equilibria and stability (1987) (41)
- Fredholm theory of holomorphic discs under the perturbation of boundary conditions (1996) (41)
- Gromov-Floer theory and disjunction energy of compact Lagrangian embeddings (1997) (37)
- Normalization of the Hamiltonian and the action spectrum (2002) (37)
- A stability criterion for Hamiltonian systems with symmetry (1987) (36)
- Canonical models of filtered _{∞}-algebras and Morse complexes (2009) (34)
- The dynamics of coupled planar rigid bodies. II. Bifurcations, periodic solutions, and chaos (1989) (32)
- Lagrangian Floer theory on compact toric manifolds: survey (2010) (31)
- Spectral invariants and length minimizing property of Hamiltonian paths (2002) (30)
- $C^0$-coerciveness of Moser's problem and smoothing area preserving homeomorphisms (2006) (29)
- Floer homology of open subsets and a relative version of Arnold's conjecture (2001) (29)
- Mini-max theory, spectral invariants and geometry of the Hamiltonian diffeomorphism group (2002) (28)
- Floer trajectories with immersed nodes and scale-dependent gluing (2007) (27)
- Symplectic Topology and Measure Preserving Dynamical Systems (2010) (26)
- Kuranishi structure, Pseudo-holomorphic curve, and Virtual fundamental chain: Part 1 (2015) (26)
- Anchored Lagrangian submanifolds and their Floer theory (2009) (24)
- Lagrangian fibers of Gelfand-Cetlin systems (2017) (24)
- Deformations of Coisotropic Submanifolds in Abstract Jacobi Manifolds (2014) (22)
- Lagrangian Floer theory over integers: spherically positive symplectic manifolds (2011) (22)
- Embedding property of $J$-holomorphic curves in Calabi-Yau manifolds for generic $J$ (2008) (21)
- Construction of spectral invariants of Hamiltonian diffeomorphisms on general symplectic manifolds (2004) (21)
- ANALYSIS OF CONTACT CAUCHY–RIEMANN MAPS II: CANONICAL NEIGHBORHOODS AND EXPONENTIAL CONVERGENCE FOR THE MORSE–BOTT CASE (2013) (20)
- Floer homology and its continuity for non-compact Lagrangian submanifolds (2000) (20)
- Spectral invariants, analysis of the Floer moduli spaces and the geometry of Hamiltonian diffeomorphisms (2004) (20)
- Displacement of polydisks and Lagrangian Floer theory (2011) (19)
- Locality of continuous Hamiltonian flows and Lagrangian intersections with the conormal of open subsets (2006) (19)
- A compactification of the space of maps from curves (2011) (18)
- Fredholm theory of holomorphic discs under the perturbation of boundary conditions (1996) (17)
- Exponential decay estimates and smoothness of the moduli space of pseudoholomorphic curves (2016) (17)
- Kuranishi Structures and Virtual Fundamental Chains (2020) (17)
- Analysis of Contact Cauchy-Riemann maps I: a priori $C^k$ estimates and asymptotic convergence (2012) (17)
- FLOER HOMOLOGY AS THE STABLE MORSE HOMOLOGY (1997) (16)
- Toric degeneration and non-displaceable Lagrangian tori in $S^2 \times S^2$ (2010) (15)
- Deformations of coisotropic submanifolds in locally conformal symplectic manifolds (2012) (15)
- Generating functions versus action functional—stable Morse theory versus Floer theory (1998) (14)
- Shrinking good coordinate systems associated to Kuranishi structures (2014) (14)
- Analysis of contact cauchy-riemann maps III: energy, bubbling and fredholm theory (2021) (14)
- Geometry and analysis of contact instantons and entanglement of Legendrian links I (2021) (12)
- The group of Hamiltonian homeomorphisms and continuous Hamiltonian flows (2006) (12)
- Some remarks on the transverse poisson structures of coadjoint orbits (1986) (11)
- Continuous and coherent actions on wrapped Fukaya categories (2019) (10)
- FLOER MINI-MAX THEORY, THE CERF DIAGRAM, AND THE SPECTRAL INVARIANTS[Author's correctin] (2004) (10)
- Geometry of coisotropic submanifolds in symplectic and K (2003) (9)
- Gluing theories of contact instantons and of pseudoholomoprhic curves in SFT (2022) (9)
- Construction of Kuranishi structures on the moduli spaces of pseudo holomorphic disks: I (2017) (9)
- Geometry of generating functions and Lagrangian spectral invariants (2012) (9)
- Exact Lagrangian submanifolds, Lagrangian spectral invariants and Aubry–Mather theory (2016) (9)
- An existence theorem, with energy bounds, of Floer's perturbed Cauchy-Riemann equation with jumping discontinuity (2002) (8)
- The group of Hamiltonian homeomorphisms and topological Hamiltonian flows (2006) (8)
- Thick-thin Decomposition of Floer Trajectories and Adiabatic Gluing (2011) (8)
- A Symplectic Fixed Point Theorem on ... . (1990) (7)
- Bordered contact instantons and their Fredholm theory and generic transversalities (2022) (7)
- Floer homology in symplectic geometry and in mirror symmetry (2006) (7)
- Geometric analysis of perturbed contact instantons with Legendrian boundary conditions (2022) (6)
- Floer homology and its applications (2015) (5)
- Localization of Floer homology of engulfed topological Hamiltonian loop (2011) (5)
- A wrapped Fukaya category of knot complement (2019) (5)
- A critical point analysis of Landau–Ginzburg potentials with bulk in Gelfand–Cetlin systems (2019) (5)
- Smooth approximation for classifying spaces of diffeomorphism groups (2020) (5)
- Canonical Connection on Contact Manifolds (2012) (5)
- Continuous Hamiltonian dynamics and area-preserving homeomorphism group of $D^2$ (2015) (4)
- Contact instantons with Legendrian boundary condition: a priori estimates, asymptotic convergence and index formula (2023) (4)
- Seidel's long exact sequence on Calabi-Yau manifolds (2011) (4)
- A-infinity-categories, their infinity-category, and their localizations. (2020) (4)
- Formality of Floer complex of the ideal boundary of hyperbolic knot complement (2019) (4)
- Asymptotic behavior of exotic Lagrangian tori T a,b,c in C P 2 as a + b + c → ∞ (2021) (4)
- A symplectic fixed point theorem onT2n×ℂPk (1990) (4)
- Unwrapped continuation invariance in Lagrangian Floer theory: energy and $C^0$ estimates (2009) (4)
- Continuous actions on wrapped Fukaya categories (2019) (3)
- Homotopy invariance of spectral invariants of topological Hamiltonian flows (2010) (3)
- Monoid of Liouville sectors with corners and its intrinsic characterization (2021) (3)
- Super-rigidity and finiteness of embedded $J$-holomorphic curves on Calabi-Yau threefolds (2008) (3)
- C T ] 2 2 M ar 2 02 0 A ∞-categories , their ∞-category , and their localizations (2020) (3)
- Extension of Calabi homomorphism and non-simpleness of the area preserving homeomorphism group of $D^2$ (2010) (3)
- Contact Hamiltonian dynamics and perturbed contact instantons with Legendrian boundary condition (2021) (3)
- Length minimizing property, Conley-Zehnder index and $C^1$-perturbations of Hamiltonian functions (2004) (3)
- Smooth constructions of homotopy-coherent actions (2020) (3)
- Canonical connection and contact Cauchy-Riemann maps on contact manifolds I (2012) (2)
- Contact instantons, anti-contact involution and proof of Shelukhin's conjecture (2022) (2)
- Nonequilibrium thermodynamics as a symplecto-contact reduction and relative information entropy (2022) (2)
- Off-shell analysis of the Floer moduli space (2015) (2)
- Analysis of contact instantons II: exponential convergence for the Morse-Bott case (2013) (2)
- Spectral invariants and the geometry of Hamiltonian diffeomorphisms (2004) (2)
- Symplectic geometry and pseudoholomorphic curves (2015) (2)
- Topological extension of Calabi invariants and non-simpleness of the area preserving homeomorphism group of the disc (2006) (2)
- HIGHER JET EVALUATION TRANSVERSALITY OF J-HOLOMORPHIC CURVES (2009) (1)
- Partial collapsing degeneration of Floer trajectories and adiabatic gluing (2011) (1)
- Fukaya category of infinite-type surfaces (2023) (1)
- Perturbation theory of asymptotic operators of contact instantons and pseudoholomorphic curves on symplectization (2023) (1)
- Displacement energy of compact Lagrangian submanifold from open subset (2018) (1)
- Spectral invariants: applications (2015) (1)
- Lagrangian multi-sections and their toric equivariant mirror (2022) (1)
- Spectral $C^0$ limits of Hamiltonian flows and non-simpleness of area preserving homeomorphism group of $D^2$ (2010) (1)
- Geometry of Liouville sectors and the maximum principle (2021) (1)
- Construction of a linear K-system in Hamiltonian Floer theory (2021) (1)
- Fredholm-Regularity of Floer's Holomorphic Trajectories on $K{\ddot{a}}hler$ Manifolds (1997) (1)
- UNCERTAINTY PRINCIPLE, NON-SQUEEZING THEOREM AND THE SYMPLECTIC RIGIDITY LECTURE FOR THE 1995 DAEWOO WORKSHOP, CHUNGWON, KOREA (2005) (1)
- Analysis of pseudoholomorphic curves on symplectization: Revisit via contact instantons (2023) (1)
- Spectral vanishing of static Hamiltonian flows in spectral $C^0$ limit (2010) (1)
- Perturbed Cauchy-Riemann equation with jumping discontinuity and the energy identity (2002) (1)
- EVALUATION TRANSVERSALITY OF CONTACT INSTANTONS AND PROOF OF SHELUKHIN’S CONJECTURE (2022) (1)
- Asymptotic behavior of Vianna's exotic Lagrangian tori $T_{a,b,c}$ in $\mathbb{CP}^2$ as $a+b+c \to \infty$. (2019) (1)
- Holomorphic curves and continuation maps in Liouville bundles (2020) (1)
- The _{∞} algebra associated to a Lagrangian submanifold (2010) (0)
- The three-interval method of exponential estimates (2015) (0)
- Almost-every-moment Lagrangian Disjunction (2006) (0)
- Zero-and One-Dimensional Cases via Multivalued Perturbation (2020) (0)
- Applications to symplectic topology (2015) (0)
- Topological extension of Calabi homomorphism and non-simpleness of the area-preserving homeomorphism group of two-disc (2015) (0)
- Construction of CF-Perturbations (2020) (0)
- Homotopy equivalence of _{∞} bimodules (2010) (0)
- From Good Coordinate Systems to Kuranishi Structures and Back with CF-Perturbations (2020) (0)
- Admissible Kuranishi Structures (2020) (0)
- Extension of a Kuranishi Structure and Its Perturbation from Boundary to Its Neighborhood (2020) (0)
- Contents of Volume 2 (1998) (0)
- Global Quotients and Orbifolds (2020) (0)
- Hofer's geometry of Ham(M,ω) (2015) (0)
- Tree-Like K-Systems: A ∞ Structure II – Proof (2020) (0)
- Construction of Multivalued Perturbations (2020) (0)
- The off-shell framework of a Floer complex with bubbles (2015) (0)
- Covering Space of Effective Orbifolds and K-Spaces (2020) (0)
- Fiber Product of Kuranishi Structures (2020) (0)
- Composition Formula of Smooth Correspondences (2020) (0)
- Hamiltonian Floer homology (2015) (0)
- Spectral invariants: construction (2015) (0)
- Thickening of a Kuranishi Structure (2020) (0)
- M ay 2 00 8 THE LIOUVILLE PHENOMENON IN THE DEFORMATION PROBLEM OF COISOTROPICS (2018) (0)
- EIGENVALUES AND CAPACITIES OF RIEMANNIAN MANIFOLDS (2007) (0)
- The Maslov index, the Conley–Zehnder index and the index formula (2015) (0)
- Cliff-wall surgery and vanishing of basic phase function for contractible topological Hamiltonian loop (2012) (0)
- Asymptotic behavior of exotic Lagrangian tori $T_{a,b,c}$ in $\mathbb{C}P^2$ as $a+b+c \to \infty$ (2021) (0)
- Symplectic topology and measure preserving dynamical systems : AMS-IMS-SIAM Joint Summer Research Conference, July 1-5, 2007, Snowbird, Utah (2010) (0)
- The least action principle and Hamiltonian mechanics (2015) (0)
- Tree-Like K-Systems: A ∞ Structure I – Statement (2020) (0)
- GEOMETRY OF COISOTROPIC SUBMANIFOLDS IN SYMPLECTIC MANIFOLDS AND KÄHLER MANIFOLDS (2003) (0)
- Linear K-Systems: Floer Cohomology II – Proof (2020) (0)
- The pants product and quantum cohomology (2015) (0)
- Orbifolds and Orbibundles by Local Coordinates (2020) (0)
- Composition of KG-and GG-Embeddings: Proof of Lemma 3.34 (2020) (0)
- Construction of a linear K-system in Hamiltonian Floer theory (2022) (0)
- Contents of Volume 1 (2015) (0)
- Legendrian contact instanton cohomology and its spectral invariants on the one-jet bundle (2023) (0)
- Linear K-Systems: Floer Cohomology III – Morse Case by Multisection (2020) (0)
- Homotopy equivalence of _{∞} algebras (2010) (0)
- Introduction to Part II (2020) (0)
- Stokes’ Formula (2020) (0)
- Floer homology on cotangent bundles (2015) (0)
- Local study of J-holomorphic curves (2015) (0)
- The Weitzenböck formula for vector-valued forms (2015) (0)
- CF-Perturbations and Integration Along the Fiber (Pushout) (2020) (0)
- Floer homology of monotone Lagrangian submanifolds (2015) (0)
- GEOMETRY OF COISOTROPIC SUBMANIFOLDS IN (ALMOST-) KÄHLER MANIFOLDS (2003) (0)
- Gromov compactification and stable maps (2015) (0)
- Multivalued Perturbations (2020) (0)
- Pseudoholomoprhic curves on the $\mathfrak{LCS}$-fication of contact manifolds (2021) (0)
- Kuranishi Structures and Good Coordinate Systems (2020) (0)
- Review: Floer cohomology (2010) (0)
- MINIMIZING PROPERTY OF HAMILTONIAN PATHS (2002) (0)
- Construction of Good Coordinate Systems (2020) (0)
- Notations and Conventions (2020) (0)
- Uniqueness of $L^{(1,\infty)}$-Hamiltonians and almost-every-moment Lagrangian disjunction (2006) (0)
- The action functional and the Conley–Zehnder index (2015) (0)
- Local System and Smooth Correspondence in de Rham Theory with Twisted Coefficients (2020) (0)
- Fe b 20 05 SPECTRAL INVARIANTS , ANALYSIS OF THE FLOER MODULI SPACE AND GEOMETRY OF THE HAMILTONIAN DIFFEOMORPHISM GROUP (2005) (0)
- Linear K-Systems: Floer Cohomology I – Statement (2020) (0)
- Introduction (2020) (0)
- Symplectic Topology and Floer Homology by Yong-Geun Oh (2015) (0)
- Hamiltonian $C^{0}$-continuity of Lagrangian capacity on the cotangent bundle (2017) (0)
- Stratified Submersion to a Manifold with Corners (2020) (0)
- On-shell analysis of Floer moduli spaces (2015) (0)
- Corner Smoothing and Composition of Morphisms (2020) (0)
- Symplectic manifolds and Hamilton's equation (2015) (0)
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