Thibault Langlais

collaborators

3 papers

math.DG2025

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.DG2025

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…

math.DG2024

Analysis and spectral theory of neck-stretching problems

Thibault Langlais

We study the mapping properties of a large class of elliptic operators $P_{T}$ in gluing problems where two non-compact manifolds with asymptotically cylindrical geometry are glued a…

Geometry and periods of G2​-moduli spaces

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

Analysis and spectral theory of neck-stretching problems

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

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