111 citations · 376 across the 46 of their papers we have counts for
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math.DG2022★ 1 cited
The generalized Kähler Calabi-Yau problem
Vestislav Apostolov, Xin Fu, Jeffrey Streets +1
We formulate an extension of the Calabi conjecture to the setting of generalized Kähler geometry. We show a transgression formula for the Bismut Ricci curvature in this setting, wh…
math.DG2022★ 1 cited
The Kähler geometry of toric manifolds
Vestislav Apostolov
These lecture notes are written for a PhD mini-course I gave at the CIRM in Luminy in 2019. Their intended purpose was to present, in the context of smooth toric varieties, a relat…
math.DG2022
Twisted differentials and Lee classes of locally conformally symplectic complex surfaces
Vestislav Apostolov, Georges Dloussky
We study the set of deRham classes of Lee -forms of the locally conformally symplectic (LCS) structures taming the complex structure of a compact complex surface in the Kodaira…