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Chien-Hao Liu

Identifiers

  • name variant Chien-Hao Liu 0.60 · backfill

Papers (35)

  1. Physicists' $d=3+1$, $N=1$ superspace-time and supersymmetric QFTs from a tower construction in complexified ${\Bbb Z}/2$-graded $C^\infty$-Algebraic Geometry and a purge-evaluation/index-contracting map hep-th · 2019 · author #1
  2. $N=1$ fermionic D3-branes in RNS formulation I. $C^\infty$-Algebrogeometric foundations of $d=4$, $N=1$ supersymmetry, SUSY-rep compatible hybrid connections, and $\widehat{D}$-chiral maps from a $d=4$ $N=1$ Azumaya/matrix superspace math.DG · 2018 · author #1
  3. Further studies of the notion of differentiable maps from Azumaya/matrix supermanifolds I. The smooth case: Ramond-Neveu-Schwarz and Green-Schwarz meeting Grothendieck math.DG · 2017 · author #1
  4. Dynamics of D-branes II. The standard action --- an analogue of the Polyakov action for (fundamental, stacked) D-branes hep-th · 2017 · author #1
  5. More on the admissible condition on differentiable maps $\varphi: (X^{\!A\!z},E;\nabla)\rightarrow Y$ in the construction of the non-Abelian Dirac-Born-Infeld action $S_{DBI}(\varphi,\nabla)$ hep-th · 2016 · author #1
  6. 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 term hep-th · 2016 · author #1
  7. Quantum fluctuations, conformal deformations, and Gromov's topology --- Wheeler, DeWitt, and Wilson meeting Gromov gr-qc · 2015 · author #1
  8. Further studies on the notion of differentiable maps from Azumaya/matrix manifolds, I. The smooth case math.DG · 2015 · author #1
  9. D-branes and synthetic/$C^{\infty}$-algebraic symplectic/calibrated geometry, I: Lemma on a finite algebraicness property of smooth maps from Azumaya/matrix manifolds math.SG · 2015 · author #1
  10. 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 theory hep-th · 2014 · author #1
  11. 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 manifolds math.DG · 2014 · author #1
  12. A mathematical theory of D-string world-sheet instantons, II: Moduli stack of $Z$-(semi)stable morphisms from Azumaya nodal curves with a fundamental module to a projective Calabi-Yau 3-fold math.AG · 2013 · author #1
  13. 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-fold math.AG · 2013 · author #1
  14. Azumaya noncommutative geometry and D-branes - an origin of the master nature of D-branes math.AG · 2011 · author #1
  15. D0-brane realizations of the resolution of a reduced singular curve math.AG · 2011 · author #1
  16. Immersed Lagrangian deformations of a branched covering of a special Lagrangian 3-sphere in a Calabi-Yau 3-fold and its deviation from Joyce's criteria: Potential image-support rigidity of A-branes that wrap around a sL $S^3$ math.DG · 2011 · author #1
  17. Algebraic cobordism of filtered vector bundles on varieties: Notes on a work of Lee and Pandharipande math.AG · 2011 · author #1
  18. D-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-Grothendieck math.SG · 2010 · author #1
  19. D-branes and Azumaya noncommutative geometry: From Polchinski to Grothendieck math.SG · 2010 · author #1
  20. 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 Ansatz math.AG · 2009 · author #1
  21. Azumaya structure on D-branes and deformations and resolutions of a conifold revisited: Klebanov-Strassler-Witten vs. Polchinski-Grothendieck math.AG · 2009 · author #1
  22. Azumaya structure on D-branes and resolution of ADE orbifold singularities revisited: Douglas-Moore vs. Polchinski-Grothendieck math.AG · 2009 · author #1
  23. Morphisms from Azumaya prestable curves with a fundamental module to a projective variety: Topological D-strings as a master object for curves math.AG · 2008 · author #2
  24. Azumaya-type noncommutative spaces and morphisms therefrom: Polchinski's D-branes in string theory from Grothendieck's viewpoint math.AG · 2007 · author #1
  25. Degeneration and gluing of Kuranishi structures in Gromov-Witten theory and the degeneration/gluing axioms for open Gromov-Witten invariants under a symplectic cut math.SG · 2006 · author #1
  26. Transformation of algebraic Gromov-Witten invariants of three-folds under flops and small extremal transitions, with an appendix from the stringy and the symplectic viewpoint math.AG · 2005 · author #1
  27. Extracting Gromov-Witten invariants of a conifold from semi-stable reduction and relative GW invariants of pairs math.AG · 2004 · author #1
  28. A degeneration formula of Gromov-Witten invariants with respect to a curve class for degenerations from blow-ups math.AG · 2004 · author #1
  29. $S^1$-fixed-points in hyper-Quot-schemes and an exact mirror formula for flag manifolds from the extended mirror principle diagram math.AG · 2004 · author #1
  30. Toric morphisms and fibrations of toric Calabi-Yau hypersurfaces math.AG · 2000 · author #2
  31. A reconstruction of Euler data math.AG · 2000 · author #2
  32. On the Splitting Type of an Equivariant Vector Bundle over a Toric Manifold math.AG · 2000 · author #1
  33. Remarks on the Geometry of Wick Rotation in QFT and its Localization on Manifolds hep-th · 1997 · author #1
  34. Topological Membrane Solitons and Loop Orders of Membrane Scatterings in M-theory hep-th · 1996 · author #1
  35. Target Space Duality between Simple Compact Lie Groups and Lie Algebras under the Hamiltonian Formalism: I. Remnants of Duality at the Classical Level hep-th · 1995 · author #2

Mentions

  • 1406.0929 #1 · backfill · confidence 0.70 Chien-Hao Liu
  • 1310.5195 #1 · backfill · confidence 0.70 Chien-Hao Liu
  • 1302.2054 #1 · backfill · confidence 0.70 Chien-Hao Liu
  • 1112.4317 #1 · backfill · confidence 0.70 Chien-Hao Liu
  • 1111.4707 #1 · backfill · confidence 0.70 Chien-Hao Liu
  • 1109.1878 #1 · backfill · confidence 0.70 Chien-Hao Liu
  • 1104.0280 #1 · backfill · confidence 0.70 Chien-Hao Liu
  • 1012.0525 #1 · backfill · confidence 0.70 Chien-Hao Liu
  • 1003.1178 #1 · backfill · confidence 0.70 Chien-Hao Liu
  • 0909.2291 #1 · backfill · confidence 0.70 Chien-Hao Liu
  • 0907.0268 #1 · backfill · confidence 0.70 Chien-Hao Liu
  • 0901.0342 #1 · backfill · confidence 0.70 Chien-Hao Liu
  • 0809.2121 #2 · backfill · confidence 0.70 Chien-Hao Liu
  • 0709.1515 #1 · backfill · confidence 0.70 Chien-Hao Liu

Frequent Coauthors