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math.DG2000
HyperKähler Potentials via Finite-Dimensional Quotients
Piotr Kobak, Andrew Swann
It is known that nilpotent orbits in a complex simple Lie algebra admit hyperKähler metrics with a single function that is a global potential for each of the Kähler structures (a h…
math.DG2000
The HyperKähler Geometry Associated to Wolf Spaces
Piotr Kobak, Andrew Swann
Let G be a compact simple Lie group and the O the minimal nilpotent orbit in g^C. We determine all G-invariant Kähler potentials for hyperKähler metrics compatible with the KKS com…
math.DG2000
HyperKähler Potentials in Cohomogeneity Two
Piotr Kobak, Andrew Swann
A hyperKähler potential is a function rho that is a Kähler potential for each complex structure compatible with the hyperKähler structure. Nilpotent orbits in a complex simple Lie…