Thibault Langlais

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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…

math.DG2024

Geometry and periods of $G_{2}$ -moduli spaces

Thibault Langlais

This paper is concerned with the geometry of the moduli space $M$ of torsion-free $G_{2}$ -structures on a compact $G_{2}$ -manifold $M$ , equipped with the volume-normalised $L…

math.DG2024

On the incompleteness of $G_{2}$ -moduli spaces along degenerating families of $G_{2}$ -manifolds

Thibault Langlais

We derive a formula for the energy of a path in the moduli space of a compact $G_{2}$ -manifold with vanishing first Betti number for the volume-normalised $L^{2}$ -metric. This allows u…

Degenerations of exotic Calabi-Yau metrics through Atiyah's flop

Geometry and periods of G2​-moduli spaces

On the incompleteness of G2​-moduli spaces along degenerating families of G2​-manifolds

Geometry and periods of $G_{2}$ -moduli spaces

On the incompleteness of $G_{2}$ -moduli spaces along degenerating families of $G_{2}$ -manifolds