922 citations · 7.2k across the 348 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 -manifolds with a fundamental module and morphisms therefrom to a complex manifold. In t…
math.SG2010
Cohomology and Hodge Theory on Symplectic Manifolds: II
Li-Sheng Tseng, Shing-Tung Yau
We show that the exterior derivative operator on a symplectic manifold has a natural decomposition into two linear differential operators, analogous to the Dolbeault operators in c…
math.SG2010★ 14 cited
D-branes and Azumaya noncommutative geometry: From Polchinski to Grothendieck
Chien-Hao Liu, Shing-Tung Yau
We review first Azumaya geometry and D-branes in the realm of algebraic geometry along the line of Polchinski-Grothendieck Ansatz from our earlier work and then use it as backgroun…