2 papers
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.DG2023
Volume functionals on pseudoconvex hypersurfaces
Simon Donaldson, Fabian Lehmann
We study an intrinsic volume form defined on a pseudoconvex hypersurface in a complex Calabi-Yau manifold. We compute first and second variation formulae and discuss possible analo…