429 citations · 3.4k across the 37 of their papers we have counts for
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hep-th2001★ 177 cited
Remarks on A-branes, Mirror Symmetry, and the Fukaya category
Anton Kapustin, Dmitri Orlov
We discuss D-branes of the topological A-model (A-branes), which are believed to be closely related to the Fukaya category. We give string theory arguments which show that A-branes…
hep-th2000★ 65 cited
Vertex Algebras, Mirror Symmetry, And D-Branes: The Case Of Complex Tori
Anton Kapustin, Dmitri Orlov
A vertex algebra is an algebraic counterpart of a two-dimensional conformal field theory. We give a new definition of a vertex algebra which includes chiral algebras as a special c…
hep-th2000★ 131 cited
Noncommutative Instantons and Twistor Transform
Anton Kapustin, Alexander Kuznetsov, Dmitri Orlov
Recently N.Nekrasov and A.Schwarz proposed a modification of the ADHM construction of instantons which produces instantons on a noncommutative deformation of the 4-dimensional real…