Publication data of Liu, Chien-Hao: Link to Inspire

Created with Highcharts 9.0.1CitationsCitationsw/o self-citaionself-citaion1995200020052010201520202025050100150200250
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Created with Highcharts 9.0.1CitationsBreakdown of Most Cited PapersrestExtracting Gromov-Witten invariants of a conifold from semi-stable reduction and relative GW invariants of pairsExtracting Gromov-Witten invariants of a conifold from semi-stable reduction…A mathematical theory of D-string world-sheet instantons, I: Compactness of the stack of $Z$-semistable Fourier-Mukai transforms from a compact family of nodal curves to a projective Calabi-Yau 3-foldA mathematical theory of D-string world-sheet instantons, I: Compactness of …A Reconstruction of Euler dataFurther studies on the notion of differentiable maps from Azumaya/matrix manifolds, I. The smooth caseFurther studies on the notion of differentiable maps from Azumaya/matrix m…The S**1 fixed points in Quot schemes and mirror principle computationsD-branes of A-type, their deformations, and Morse cobordism of A-branes on Calabi-Yau 3-folds under a split attractor flow: Donaldson/Alexander-Hilden-Lozano-Montesinos-Thurston/Hurwitz/Denef-Joyce meeting Polchinski-GrothendieckD-branes of A-type, their deformations, and Morse cobordism of A-branes on …Transformation of algebraic Gromov-Witten invariants of three-folds under flops and small extremal transitions, with an appendix from the stringy and the symplectic viewpointTransformation of algebraic Gromov-Witten invariants of three-folds under flo…Nontrivial Azumaya noncommutative schemes, morphisms therefrom, and their extension by the sheaf of algebras of differential operators: D-branes in a B-field background a la Polchinski-Grothendieck AnsatzNontrivial Azumaya noncommutative schemes, morphisms therefrom, and th…Dynamics of D-branes I. The non-Abelian Dirac-Born-Infeld action, its first variation, and the equations of motion for D-branes --- with remarks on the non-Abelian Chern-Simons/Wess-Zumino termDynamics of D-branes I. The non-Abelian Dirac-Born-Infeld action, its first vari…On the global structure of some natural fibrations of Joyce manifoldsOn the isolated singularity of a seven space obtained by rolling Calabi-Yau threefolds through extremal transitionsOn the isolated singularity of a seven space obtained by rolling Calabi-Yau thr…Azumaya structure on D-branes and resolution of ADE orbifold singularities revisited: Douglas-Moore versus Polchinski-GrothendieckAzumaya structure on D-branes and resolution of ADE orbifold singularities re…D-branes and Azumaya/matrix noncommutative differential geometry,II: Azumaya/matrix supermanifolds and differentiable maps therefrom -- with a view toward dynamical fermionic D-branes in string theoryD-branes and Azumaya/matrix noncommutative differential geometry,II: Azu…Azumaya noncommutative geometry and D-branes: An Origin of the master nature of D-branesAzumaya noncommutative geometry and D-branes: An Origin of the master …Azumaya structure on D-branes and deformations and resolutions of a conifold revisited: Klebanov-Strassler-Witten vs. Polchinski-GrothendieckAzumaya structure on D-branes and deformations and resolutions of a conifol…D-branes and Azumaya/matrix noncommutative differential geometry, I: D-branes as fundamental objects in string theory and differentiable maps from Azumaya/matrix manifolds with a fundamental module to real manifoldsD-branes and Azumaya/matrix noncommutative differential geometry, I: D-br…D-branes and Azumaya noncommutative geometry: From Polchinski to GrothendieckD-branes and Azumaya noncommutative geometry: From Polchinski to Groth…Toric morphisms and fibrations of toric Calabi-Yau hypersurfacesTarget space duality between simple compact Lie groups and Lie algebras under the Hamiltonian formalism: 1. Remnants of duality at the classical levelTarget space duality between simple compact Lie groups and Lie algebras un…1995200020052010201520202025050100150200250
Created with Highcharts 9.0.1Fraction [%]Breakdown of Most Cited Papers (Fraction)Extracting Gromov-Witten invariants of a conifold from semi-stable reduction and relative GW invariants of pairsExtracting Gromov-Witten invariants of a conifold from semi-stable reduction…A mathematical theory of D-string world-sheet instantons, I: Compactness of the stack of $Z$-semistable Fourier-Mukai transforms from a compact family of nodal curves to a projective Calabi-Yau 3-foldA mathematical theory of D-string world-sheet instantons, I: Compactness of …A Reconstruction of Euler dataFurther studies on the notion of differentiable maps from Azumaya/matrix manifolds, I. The smooth caseFurther studies on the notion of differentiable maps from Azumaya/matrix m…The S**1 fixed points in Quot schemes and mirror principle computationsD-branes of A-type, their deformations, and Morse cobordism of A-branes on Calabi-Yau 3-folds under a split attractor flow: Donaldson/Alexander-Hilden-Lozano-Montesinos-Thurston/Hurwitz/Denef-Joyce meeting Polchinski-GrothendieckD-branes of A-type, their deformations, and Morse cobordism of A-branes on …Transformation of algebraic Gromov-Witten invariants of three-folds under flops and small extremal transitions, with an appendix from the stringy and the symplectic viewpointTransformation of algebraic Gromov-Witten invariants of three-folds under flo…Nontrivial Azumaya noncommutative schemes, morphisms therefrom, and their extension by the sheaf of algebras of differential operators: D-branes in a B-field background a la Polchinski-Grothendieck AnsatzNontrivial Azumaya noncommutative schemes, morphisms therefrom, and th…Dynamics of D-branes I. The non-Abelian Dirac-Born-Infeld action, its first variation, and the equations of motion for D-branes --- with remarks on the non-Abelian Chern-Simons/Wess-Zumino termDynamics of D-branes I. The non-Abelian Dirac-Born-Infeld action, its first vari…On the global structure of some natural fibrations of Joyce manifoldsOn the isolated singularity of a seven space obtained by rolling Calabi-Yau threefolds through extremal transitionsOn the isolated singularity of a seven space obtained by rolling Calabi-Yau thr…Azumaya structure on D-branes and resolution of ADE orbifold singularities revisited: Douglas-Moore versus Polchinski-GrothendieckAzumaya structure on D-branes and resolution of ADE orbifold singularities re…D-branes and Azumaya/matrix noncommutative differential geometry,II: Azumaya/matrix supermanifolds and differentiable maps therefrom -- with a view toward dynamical fermionic D-branes in string theoryD-branes and Azumaya/matrix noncommutative differential geometry,II: Azu…Azumaya noncommutative geometry and D-branes: An Origin of the master nature of D-branesAzumaya noncommutative geometry and D-branes: An Origin of the master …Azumaya structure on D-branes and deformations and resolutions of a conifold revisited: Klebanov-Strassler-Witten vs. Polchinski-GrothendieckAzumaya structure on D-branes and deformations and resolutions of a conifol…D-branes and Azumaya/matrix noncommutative differential geometry, I: D-branes as fundamental objects in string theory and differentiable maps from Azumaya/matrix manifolds with a fundamental module to real manifoldsD-branes and Azumaya/matrix noncommutative differential geometry, I: D-br…D-branes and Azumaya noncommutative geometry: From Polchinski to GrothendieckD-branes and Azumaya noncommutative geometry: From Polchinski to Groth…Toric morphisms and fibrations of toric Calabi-Yau hypersurfacesTarget space duality between simple compact Lie groups and Lie algebras under the Hamiltonian formalism: 1. Remnants of duality at the classical levelTarget space duality between simple compact Lie groups and Lie algebras un…19952000200520102015202020250255075100
Created with Highcharts 9.0.1Citations/1 YearCitations/PeriodCitations / 1 YearMoving average19952000200520102015202020250510152025