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math.DG2026
Hyperkähler Degenerations from Parabolic -Higgs Bundles Moduli Spaces on the Punctured Sphere to Hyperpolygon Spaces
Laura Fredrickson, Arya Yae
Complete hyperkähler 4-manifolds of finite energy are grouped into ALE, ALF, ALG, ALH, each of these being further classified according to the Dynkin type of their…
math.DG2025
Hyper-Kähler manifolds from Riemann-Hilbert problems I: Ooguri-Vafa-like model geometries
Laura Fredrickson, Max Zimet
We construct model hyper-Kähler geometries that include and generalize the multi-Ooguri-Vafa model using the formalism of Gaitto, Moore, and Neitzke. This is the first paper in a…
math.DG2024
A Concrete Variant of the Twistor Theorem
Laura Fredrickson, Max Zimet
In this note, we prove a concrete variant of the twistor theorem of Hitchin--Karlhede--Lindström--RoÄek which applies when one already has the real manifold on which one wishes t…