88 citations · 235 across the 7 of their papers we have counts for
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hep-th2005★ 88 cited
Chiral de Rham complex and the half-twisted sigma-model
Anton Kapustin
On any Calabi-Yau manifold X one can define a certain sheaf of chiral N=2 superconformal field theories, known as the chiral de Rham complex of X. It depends only on the complex st…
hep-th2005★ 47 cited
A-branes and Noncommutative Geometry
Anton Kapustin
We argue that for a certain class of symplectic manifolds the category of A-branes (which includes the Fukaya category as a full subcategory) is equivalent to a noncommutative defo…
hep-th2005★ 2 cited
Open String BRST Cohomology for Generalized Complex Branes
Anton Kapustin, Yi Li
It has been shown recently that the geometry of D-branes in general topologically twisted (2,2) sigma-models can be described in the language of generalized complex structures. On…