Analysis and spectral theory of neck-stretching problems

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Elliptic equations on manifolds, general theory (58J05) Issues of holonomy in differential geometry (53C29)

Cites Work

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Asymptotically cylindrical Calabi-Yau 3-folds from weak Fano 3-folds
\(G_2\)-manifolds and associative submanifolds via semi-Fano 3-folds
Riemannian manifolds with structure group \(G_ 2\)
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On the geometry of the string landscape and the swampland
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Deformations of glued \(G_2\)-manifolds
Self-dual conformal structures on \(\mathbb{C} \mathbb{P}^ 2\)
A Kummer-type construction of self-dual 4-manifolds
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Noncollapsed degeneration of Einstein 4-manifolds. II
A new construction of compact torsion-free \(G_2\)-manifolds by gluing families of Eguchi-Hanson spaces
The splitting theorem for manifolds of nonnegative Ricci curvature
Pseudodifferential and Singular Integral Operators
Deformations of asymptotically cylindricalG₂-manifolds
Fredholm, Hodge and Liouville Theorems on Noncompact Manifolds
Connected sums of self-dual manifolds and deformations of singular spaces
Spectral asymmetry and Riemannian Geometry. I
Twisted connected sums and special Riemannian holonomy
ELLIPTIC PROBLEMS WITH A PARAMETER AND PARABOLIC PROBLEMS OF GENERAL TYPE
Properties of solutions of ordinary differential equations in banach space
Gluing theorems for complete anti-self-dual spaces
The Swampland: Introduction and Review
Extra-twisted connected sum \(G_2\)-manifolds

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