88 citations · 264 across the 20 of their papers we have counts for
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math.AG2007★ 21 cited
Azumaya-type noncommutative spaces and morphisms therefrom: Polchinski's D-branes in string theory from Grothendieck's viewpoint
Chien-Hao Liu, Shing-Tung Yau
We explain how Polchinski's work on D-branes re-read from a noncommutative version of Grothendieck's equivalence of local geometries and function rings gives rise to an intrinsic p…
math.DG2007★ 88 cited
Taming symplectic forms and the Calabi-Yau equation
Valentino Tosatti, Ben Weinkove, Shing-Tung Yau
We study the Calabi-Yau equation on symplectic manifolds. We show that Donaldson's conjecture on estimates for this equation in terms of a taming symplectic form can be reduced to…