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math.DG2026
Deformations of harmonic maps with conical singularities
Dominik Gutwein, Thibault Langlais
We study the deformation theory of harmonic maps with isolated singularities between compact Riemannian manifolds, in the case where all the tangent maps are smooth (away from the…
math.DG2026
Degenerations of exotic Calabi-Yau metrics through Atiyah's flop
Thibault Langlais, Viktor F. Majewski
We construct new families of complete Calabi-Yau metrics with maximal volume growth on the small resolutions of the conifold $\mathcal{Z} = \{z_1^2 + z_2^2 + z_3^2 + z_4^2 = 0\} \s…