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math.DG2024
Calabi-Yau threefolds with boundary
Simon Donaldson, Fabian Lehmann
We develop the deformation theory of Calabi-Yau threefolds, by which we mean 3-dimensional complex manifolds with a nowhere-vanishing holomorphic 3-form, on manifolds with boundary…
math.DG2022
Closed 3-forms in five dimensions and embedding problems
Simon Donaldson, Fabian Lehmann
We consider the question if a five dimensional manifold can be embedded into a Calabi-Yau manifold of complex dimension three such that the real part of the holomorphic volume form…