Research

International

• Partial collapsing degeneration of Floer trajectories and adiabatic gluing, Acta Mathematica Sinica English Series, , 40, 161-249 (2024 )
• Lagrangian multisection and their toric equivariant mirror, Advances in Mathematics, , , - (2024 )
• Construction of Kuranishi structureson the moduli spaces of pseudoholomorphic disks II, Advances in Mathematics, , 442, - (2024 )
• FUKAYA CATEGORY OF INFINITETYPE SURFACES, Osaka Journal of Mathematics, , 61, 419-465 (2024 )
• Exponential decay estimates and smoothness of the moduli space of pseudoholomorphic curves, Memoirs of the American Mathematical Society, , 299, - (2024 )
• Contact instantons with Legendrian boundary condition a priori estimates asymptotic convergence and index formula, International Journal of Mathematics, , 35, - (2024 )
• Pseudoholomorphic curves on the LCSfication of contact manifolds, Advances in Geometry, , 23, 153-190 (2023 )
• A wrapped Fukaya category of knot complement, Mathematische Zeitschrift, , 304, - (2023 )
• Nonequilibrium thermodynamics as a symplectocontact reduction and relative information entropy, Reports on Mathematical Physics, , 92, 347-400 (2023 )
• Construction of a linear Ksystem in Hamiltonian Floer theory, Journal of Fixed Point Theory and Applications, , 24, - (2022 )
• Smooth constructions of homotopycoherent actions, Algebraic and Geometric Topology, , 22, 1177-1216 (2022 )
• Analysis of contact CauchyRiemann maps III Energy bubbling and Fredholm theory, Bulletin of Mathematical Sciences, , , - (2022 )
• A critical point analysis of LandauGinzburg potentials with bulk in GelfandCetlin systems, KYOTO JOURNAL OF MATHEMATICS, , 1, 1-46 (2021 )
• Asymptotic behavior of exotic Lagrangian tori TaTbTc in CP2 as a plus b plus c gt infinity, JOURNAL OF SYMPLECTIC GEOMETRY, , 19, 607-634 (2021 )
• FORMALITY OF FLOER COMPLEX OF THE IDEAL BOUNDARY OF HYPERBOLIC KNOT COMPLEMENT, Asian Journal of Mathematics, , 25, 117-176 (2021 )
• Lagrangian fibers of GelfandCetlin systems, ADVANCES IN MATHEMATICS, , 372, - (2020 )
• Multivalued perturbations, Springer Monographs in Mathematics, , , 95-111 (2020 )
• Introduction, Springer Monographs in Mathematics, , , 1-39 (2020 )
• Kuranishi structures and virtual fundamental chains, Springer Monographs in Mathematics, , , 1-631 (2020 )
• Local system and smooth correspondence in de rham theory with twisted coefficients, Springer Monographs in Mathematics, , , 615-617 (2020 )
• Admissible kuranishi structures, Springer Monographs in Mathematics, , , 589-604 (2020 )
• Composition formula of smooth correspondences, Springer Monographs in Mathematics, , , 177-192 (2020 )
• Composition of kgand ggembeddings Proof of lemma 334, Springer Monographs in Mathematics, , , 619-620 (2020 )
• Notations and conventions, Springer Monographs in Mathematics, , , 41-45 (2020 )
• Kuranishi structures and good coordinate systems, Springer Monographs in Mathematics, , , 49-65 (2020 )
• From good coordinate systems to kuranishi structures and back with cfperturbations, Springer Monographs in Mathematics, , , 159-176 (2020 )
• Linear ksystems Floer cohomology ii – proof, Springer Monographs in Mathematics, , , 459-511 (2020 )
• Extension of a kuranishi structure and its perturbation from boundary to its neighborhood, Springer Monographs in Mathematics, , , 345-398 (2020 )
• Stratified submersion to a manifold with corners, Springer Monographs in Mathematics, , , 605-614 (2020 )
• Construction of good coordinate systems, Springer Monographs in Mathematics, , , 193-219 (2020 )
• Fiber product of kuranishi structures, Springer Monographs in Mathematics, , , 67-77 (2020 )
• Construction of multivalued perturbations, Springer Monographs in Mathematics, , , 239-251 (2020 )
• Treelike ksystems A ∞ Structure II – Proof, Springer Monographs in Mathematics, , , 539-560 (2020 )
• Construction of cfperturbations, Springer Monographs in Mathematics, , , 221-237 (2020 )
• Preface, Springer Monographs in Mathematics, , , v- (2020 )
• Thickening of a kuranishi structure, Springer Monographs in Mathematics, , , 79-94 (2020 )
• Zeroand onedimensional cases via multivalued perturbation, Springer Monographs in Mathematics, , , 253-273 (2020 )
• Stokes’ formula, Springer Monographs in Mathematics, , , 147-157 (2020 )
• Cfperturbations and integration along the fiber pushout, Springer Monographs in Mathematics, , , 113-146 (2020 )
• Covering space of effective orbifolds and kspaces, Springer Monographs in Mathematics, , , 577-588 (2020 )
• Spectral Invariants With Bulk QuasiMorphisms and Lagrangian Floer Theory, MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, , 260, I-+ (2019 )
• ANALYSIS OF CONTACT CAUCHYRIEMANN MAPS II CANONICAL NEIGHBORHOODS AND EXPONENTIAL CONVERGENCE FOR THE MORSEBOTT CASE, NAGOYA MATHEMATICAL JOURNAL, , 231, 128-223 (2018 )
• Exact Lagrangian submanifolds Lagrangian spectral invariants and AubryMather theory, MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, , 165, 411-434 (2018 )
• ANALYSIS OF CONTACT CAUCHYRIEMANN MAPS I A PRIORI Ck ESTIMATES AND ASYMPTOTIC CONVERGENCE, OSAKA JOURNAL OF MATHEMATICS, , 55, 647-679 (2018 )
• Deformations of coisotropic submanifolds in Jacobi manifolds, JOURNAL OF SYMPLECTIC GEOMETRY, , 16, 1051-1116 (2018 )
• Antisymplectic involution and Floer cohomology, Geometry and Topology, , 21, 1-106 (2017 )
• Hamiltonian C0continuity of Lagrangian capacity on the cotangent bundle, KYOTO JOURNAL OF MATHEMATICS, , 57, 613-636 (2017 )
• Lagrangian Floer theory and mirror symmetry on compact toric manfolds, Asterisque, , 376, 1-340 (2016 )
• Schrinking good coordinates systems associated to Kuranishi structures, Journal of Symplectic Geometry, , 14, 1295-1310 (2016 )
• Deformations of coisotropic submanifolds in locally conformal symplectic manifolds, Asian Journal of Mathematics, , 20, 553-596 (2016 )
• Continuous Hamiltonian dynamics and areapreserving homeomorphism group of D2, Journal of the Korean Mathematical Society, , 53, 795-834 (2016 )
• A COMPACTIFICATION OF THE SPACE OF MAPS FROM CURVES, TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, , 366, 51-74 (2014 )
• Lagrangian Floer theory over integers Spherically positive symplectic manifolds, PURE AND APPLIED MATHEMATICS QUARTERLY, , 9, 189-289 (2013 )
• DISPLACEMENT OF POLYDISKS AND LAGRANGIAN FLOER THEORY, JOURNAL OF SYMPLECTIC GEOMETRY, , 11, 231-268 (2013 )
• Toric Degeneration and Nondisplaceable Lagrangian Tori in S2xS2, INTERNATIONAL MATHEMATICS RESEARCH NOTICES, , , 2942-2993 (2012 )
• FLOER TRAJECTORIES WITH IMMERSED NODES AND SCALEDEPENDENT GLUING, JOURNAL OF SYMPLECTIC GEOMETRY, , 9, 483-636 (2011 )
• Seidels long exact sequence on CalabiYau manifolds, KYOTO JOURNAL OF MATHEMATICS, , 51, 687-765 (2011 )
• Lagrangian Floer theory on compact toric manifolds II bulk deformations, SELECTA MATHEMATICANEW SERIES, , 17, 609-711 (2011 )
• Higher jet evaluation transversality of Jholomorphic curves, JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, , 48, 341-365 (2011 )
• FLOER MINIMAX THEORY THE CERF DIAGRAM AND THE SPECTRAL INVARIANTS vol 46 pg 363 2009, JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, , 47, 1329-1330 (2010 )
• Lagrangian Floer theory on compact toric manifolds I, DUKE MATHEMATICAL JOURNAL, , 151, 23-174 (2010 )
• EMBEDDING PROPERTY OF JHOLOMORPHIC CURVES IN CALABIYAU MANIFOLDS FOR GENERIC J, ASIAN JOURNAL OF MATHEMATICS, , 13, 323-340 (2009 )
• Floer minimax theory the Cerf diagram and the spectral invariants, JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, , 46, 363-447 (2009 )
• The group of Hamiltonian homeomorphisms and C0symplectic topology, JOURNAL OF SYMPLECTIC GEOMETRY, , 5, 167-220 (2007 )
• Floer cohomology and disc instantions of Lagrangian torus fibers in Fano toric manifolds, ASIAN JOURNAL OF MATHEMATICS, , 10, 773-814 (2006 )
• Deformations of coisotropic submanifolds and strong homotopy Lie algebroids, INVENTIONES MATHEMATICAE, , 161, 287-360 (2005 )
• Spectral invariants analysis of the Floer moduli space and geometry of the Hamiltonian diffeomorphism group, DUKE MATHEMATICAL JOURNAL, , 130, 199-295 (2005 )
• Normalization of the Hamiltonian and the action spectrum, JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, , 42, 65-83 (2005 )
• Spectral invariants and the length minimizing property of Hamiltonian paths, ASIAN JOURNAL OF MATHEMATICS, , 9, 1-17 (2005 )
• ERRATUM TO "CHAIN LEVEL FLOER THEORY AND HOFERS GEOMETRY OF THE HAMILTONIAN DIFFEOMORPHISM GROUP", ASIAN JOURNAL OF MATHEMATICS, , 7, 447-448 (2003 )
• Chain level Floer theory and Hofers geometry of the Hamiltonian diffeomorphism group, ASIAN JOURNAL OF MATHEMATICS, , 6, 579-624 (2002 )
• Floer homology and its continuity for noncompact Lagrangian submanifolds, TURKISH JOURNAL OF MATHEMATICS, , 25, 103-124 (2001 )
• Floer homology of open subsets and a relative version of Arnolds conjecture, MATHEMATISCHE ZEITSCHRIFT, , 236, 151-189 (2001 )
• Structure of the image of pseudoholomorphic discs with totally real boundary condition, COMMUNICATIONS IN ANALYSIS AND GEOMETRY, , 8, 31-82 (2000 )
• Symplectic Topology as the Geometry of Action Functional II pants product and cohomological invariants, COMMUNICATIONS IN ANALYSIS AND GEOMETRY, , 7, 1-54 (1999 )
• GromovFloer theory and disjunction energy of compact Lagrangian embeddings, MATHEMATICAL RESEARCH LETTERS, , 4, 895-905 (1997 )
• Symplectic topology as the geometry of action functional I Relative Floer theory on the cotangent bundle, JOURNAL OF DIFFERENTIAL GEOMETRY, , 46, 499-577 (1997 )
• Floer homology as the stable Morse homology, JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, , 34, 1065-1087 (1997 )
• On the structure of pseudoholomorphic discs with totally real boundary conditions, JOURNAL OF GEOMETRIC ANALYSIS, , 7, 305-327 (1997 )
• ZEROLOOP OPEN STRINGS IN THE COTANGENT BUNDLE AND MORSE HOMOTOPY, ASIAN JOURNAL OF MATHEMATICS, , 1, 96- (1997 )
• Fredholm theory of holomorphic discs under the perturbation of boundary conditions, MATHEMATISCHE ZEITSCHRIFT, , 222, 505-520 (1996 )
• Floer cohomology spectral sequences and the Maslov class of Lagrangian embeddings, INTERNATIONAL MATHEMATICS RESEARCH NOTICES, , , X-346 (1996 )
• Floer cohomology of Lagrangian intersections and pseudoholomorphic disks IAddendum, COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, , 48, 1299-1302 (1995 )
• Floer cohomology of Lagrangian intersections and pseudo-holomorphic disks. I., COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, , 48, 1299-1302 (1995 )
• Mean curvature vector and symplectic topology of Lagrangian submanifolds in EinsteinKähler manifolds, MATHEMATISCHE ZEITSCHRIFT, , 216, 471-482 (1994 )
• Floer cohomology of lagrangian intersections and pseudoholomorphic disks II ℂ Pn ℝpn, COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, , 46, 995-1012 (1993 )
• Volume minimization of Lagrangian submanifolds under Hamiltonian deformations, MATHEMATISCHE ZEITSCHRIFT, , 212, 175-192 (1993 )
• Removal of boundary singularities of pseudoholomorphic curves with Lagrangian boundary conditions, COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, , 45, 121-139 (1992 )
• Floer cohomology and Arnol’dGivental’s conjecture of Lagrangian intersections, COMPTES RENDUS MATHEMATIQUE, , 315, 309-314 (1992 )
• Tight lagrangian submanifolds in CPn, MATHEMATISCHE ZEITSCHRIFT, , 207, 409-416 (1991 )
• On positive multilump bound states of nonlinear Schrödinger equations under multiple well potential, COMMUNICATIONS IN MATHEMATICAL PHYSICS, , 131, 223-253 (1990 )
• Second variation and stabilities of minimal lagrangian submanifolds in Kähler manifolds, INVENTIONES MATHEMATICAE, , 101, 501-519 (1990 )
• A symplectic fixed point theorem onT 2n ×CP k, MATHEMATISCHE ZEITSCHRIFT, , 203, 535-552 (1990 )
• Cauchy problem and Ehrenfests law of nonlinear Schrödinger equations with potentials, JOURNAL OF DIFFERENTIAL EQUATIONS, , 81, 255-274 (1989 )
• The dynamics of coupled planar rigid bodies II Bifurcations periodic solutions and chaos, JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, , 1, 269-298 (1989 )
• Correction to Existence of semiclassical bound states of nonlinear Schrödinger equations with potentials of the class Va, COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, , 14, 833-834 (1989 )
• Stability of semiclassical bound states of nonlinear Schrödinger equations with potentials, COMMUNICATIONS IN MATHEMATICAL PHYSICS, , 121, 11-33 (1989 )
• Existence of Semiclassical Bound States of Nonlinear Schrödinger Equations with Potentials of the Class Va, COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, , 13, 1499-1519 (1988 )
• A stability criterion for Hamiltonian systems with symmetry, JOURNAL OF GEOMETRY AND PHYSICS, , 4, 163-182 (1987 )
• Some remarks on the transverse poisson structures of coadjoint orbits, LETTERS IN MATHEMATICAL PHYSICS, , 12, 87-91 (1986 )
• Erratum to: "Chain level Floer theory and Hofer's geometry of the Hamiltonian diffeomorphism group", ASIAN JOURNAL OF MATHEMATICS, , , - (0020 )
• Chain level Floer theory and Hofer's geometry of the Hamiltonian diffeomorphism group, ASIAN JOURNAL OF MATHEMATICS, , , - (0020 )
• Floer homology and its continuity for non-compact Lagrangian submanifolds, TURKISH JOURNAL OF MATHEMATICS, , , - (0020 )
• Floer cohomology, spectral sequences, and the Maslov class of Lagrangian embeddings, INTERNATIONAL MATHEMATICS RESEARCH NOTICES, , , - (0019 )
• Existence of semiclassical bound states of nonlinear Schrödinger equations with potentials of the class-(V)A, COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, , , - (0019 )
• Floer cohomology and Arnold-Giventals conjecture of Lagrangian intersections, COMPTES RENDUS MATHEMATIQUE, , , - (0019 )

Invited Talk or Presentations

• Contact instantons and entanglement of Legendrian links, , 0, 0, - (2024)
• Contact instantons with Legendrian boundary condition a priori estimates asymptotic convergence and index formula, , 0, 0, - (2024)
• Contctact instantons and entanglement of Leendrian links, , 0, 0, - (2022)
• Contact dynamics theormodynamics and contact topology, , 0, 0, - (2022)
• Contact instatnons and entanglement of Legendrian links I, , 0, 0, - (2022)
• Contact instantons anticontact involution and Shelukhims conjecture, , 0, 0, - (2022)
• Nonequilibrium thermodynamics as a symplectocontact reduction and relative information entropy, , 0, 0, - (2022)
• Gluing theoories of contact instatntons and of pseudoholomorphic curves in SFT, , 0, 0, - (2022)
• Pseudoholomorphic curves on locally conformal symplectic manifolds, , 0, 0, - (2021)
• A critical point analysis of LandauGinzburg potentials with bulk in GelfandCetlin systems, , 0, 0, - (2021)
• Spectral invariants with bulk quasimorphisms and Lagrangian Floer theory, , 0, 0, - (2020)
• A wrapped Fukaya category of knot complements and hyperbolic knots, Special volume for Fukaya Fest Kyoto J Math, 0, 0, - (2019)
• A wrapped Fukaya category of knot complement and hyperbolic knot, None, 0, 0, - (2018)
• Hameomorphisms spectral invariants and Calabi invariants, None, 0, 0, - (2018)
• Disjunction energy of compact Lagrangian submanifold from open subset, None, 0, 0, - (2018)
• Symplectic topology Hamiltonian dynamics and pseudoholomorphic curves, 없음, 0, 0, - (2017)
• Lagrangian fibers of GelfandCetlin systems II, 없음, 0, 0, - (2017)
• Symplectic topology Hamiltonian dynamics and pseudoholomorphic curves, 없음, 0, 0, - (2017)
• Lagrangian Floer theory and mirror symmetry on toric manifolds, 없음, 0, 0, - (2017)
• Lagrangian Floer theory and Gelfandcetlin systems, 없음, 0, 0, - (2017)
• Bulk deformations and nondisplaceable Lagrangian tori, 없음, 0, 0, - (2017)
• Topological extension of Calabi invariants and Lagrangian Floer theory, 업음, 0, 0, - (2017)
• Lipschitzexact Lagrangian submanifolds and Tonelli Hamiltonian, , 0, 0, - (2016)
• Symplectic topology and higher homological algebra, , 0, 0, - (2016)
• Bulk deformations and nondisplaeable Lagrangian tori, , 0, 0, - (2016)
• Bulk deformations tropicalization and nondisplaceable Lagrangian tori, , 0, 0, - (2016)
• Lagrangian Floer theory and mirror symmetry on toric manifolds, 없음, 0, 0, - (2016)
• Topological extension of Calabi invariants and its applications, , 0, 0, - (2015)
• Topological Extension of Calabi invariants and its applications, , 0, 0, - (2015)
• Holomorphic discs tropicalization and nondisplaceable Lagrangian tori, , 0, 0, - (2015)
• Lagrangian Floer theory on compact manifolds II bulk deformations, , 0, 0, - (2015)
• Lagrangian Floer theory on compact toric manifolds, , 0, 0, - (2015)
• Lagrangian Floer theory on compact toric manifolds II bulk deformations, , 0, 0, - (2015)
• Uncertainty principle symplectic geometry and mirror symmetry, , 0, 0, - (2014)
• Bulk deformations of Lagrangian Floer homology and nondisplaceable Lagrangian tori in S2 X S2, , 0, 0, - (2014)
• Canonical connection and analysis of contact CauchyRiemann maps, , 0, 0, - (2014)
• Analysis of contact CauchyRiemann maps and canonical connection on contact manifolds, , 0, 0, - (2014)
• Uncertainty principle Gromovs nonsqueesing theorem and symplectic topology, , 0, 0, - (2014)
• Frobenius manifold structure and Lagrangian Floer theory for toric manifolds, , 0, 0, - (2014)
• Nondisplaceable Lagrangian tori in S2 × S2, , 0, 0, - (2014)
• Analysis of contact CauchyRiemann maps and canonical connection on contact manifolds, , 0, 0, - (2013)
• Lagrangian intersections symplectic quasistates and openclosed Floer theory, , 0, 0, - (2013)
• , , 0, 0, - (2013)
• HamiltonJacobi equation and continuous Hamiltonian dynamics, , 0, 0, - (2013)
• Geometry of generating functions and Lagrangian spectral invariants, , 0, 0, - (2013)
• HamiltonJacobi equation and Lagrangian spectral invariants, , 0, 0, - (2013)
• Canonical connection and analysis of contact CauchyRiemann equation, , 0, 0, - (2013)