Chien‐Hao Liu

activity

19962011

most citedAzumaya-type noncommutative spaces and morphisms therefrom: Polchinski's D-branes in string theory from Grothendieck's viewpoint

21 citations · 96 across the 13 of their papers we have counts for

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math.SG2010★ 5 cited

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

Chien-Hao Liu, Shing-Tung Yau

In [L-Y5] (D(6): arXiv:1003.1178 [math.SG]) we introduced the notion of Azumaya $C^{\infty}$ -manifolds with a fundamental module and morphisms therefrom to a complex manifold. In t…

math.SG2006★ 6 cited

Degeneration and gluing of Kuranishi structures in Gromov-Witten theory and the degeneration/gluing axioms for open Gromov-Witten invariants under a symplectic cut

Chien-Hao Liu, Shing-Tung Yau

We study the degeneration and the gluing of Kuranishi structures in Gromov-Witten theory under a symplectic cut. This leads us to a degeneration axiom and a gluing axiom for open G…