On the deformation theory of Calabi-Yau structures in strongly pseudo-convex manifolds
Generalizing the Bogomolov-Tian-Todorov theorem, the author proves that on a strongly pseudoconvex Calabi-Yau manifold the deformation theory of Calabi-Yau structures is unobstructed, and the moduli space can be identified with the Kohn-Rossi cohomology \(H^{1,1}\). To prove unobstructedness, he constructs a formal power series solution and then shows that it converges. He claims that this convergence was previously unknown, but it follows for example from the proof of Kuranishi's theorem on the deformation of complex structures.
scientific article; zbMATH DE number 5805931