69 citations · 130 across the 4 of their papers we have counts for
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On Deformations of Generalized Complex Structures: the Generalized Calabi-Yau Case
Yi Li
We prove an analog of the Tian-Todorov theorem for twisted generalized Calabi-Yau manifolds; namely, we show that the moduli space of generalized complex structures on a compact tw…
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…
Topological sigma-models with H-flux and twisted generalized complex manifolds
Anton Kapustin, Yi Li
We study the topological sector of N=2 sigma-models with H-flux. It has been known for a long time that the target-space geometry of these theories is not Kahler and can be describ…
Stability Conditions For Topological D-branes: A Worldsheet Approach
Anton Kapustin, Yi Li
We study conditions on the topological D-branes of types A and B obtained by requiring a proper matching of the spectral flow operators on the boundary. These conditions ensure spa…