4 papers
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…
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 s…
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--Roček which applies when one already has the real manifold on which one wishes to…
Conformal limits for parabolic SL(n,C)-Higgs bundles
Brian Collier, Laura Fredrickson, Richard Wentworth
In this paper we generalize the conformal limit correspondence between Higgs bundles and holomorphic connections to the parabolic setting. Under mild genericity assumptions on the…