Arya Yae

collaborators

3 papers

math.DG2026

Star-Shaped Nakajima Quiver Varieties, Parabolic Higgs Bundle Moduli Spaces, and their Holomorphic Symplectic Structures

Arya Yae

In this paper, we consider two classes of hyperkähler manifolds: moduli spaces of central-Levi parabolic Higgs bundles on the punctured sphere and star-shaped Nakajima quiver varie…

math.DG2026

Hyperkähler Degenerations from Parabolic $SL (2, C)$ -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.CA2022

Further Study on Domains and Quasihyperbolic Distances

Shusen Ding, Dylan Helliwell, Gavin Pandya +1

We establish constructive geometric tools for determining when a domain is $L^{s}$ -averaging and obtain upper and lower bounds for the $L^{s}$ -integrals of the quasihyperbolic distance…

Star-Shaped Nakajima Quiver Varieties, Parabolic Higgs Bundle Moduli Spaces, and their Holomorphic Symplectic Structures

Hyperkähler Degenerations from Parabolic SL(2,C)-Higgs Bundles Moduli Spaces on the Punctured Sphere to Hyperpolygon Spaces

Further Study on Domains and Quasihyperbolic Distances

Hyperkähler Degenerations from Parabolic $SL (2, C)$ -Higgs Bundles Moduli Spaces on the Punctured Sphere to Hyperpolygon Spaces