A hyperkahler structure on the cotangent bundle of a complex Lie group
classification
🧮 math.DG
math.SG
keywords
bundlecotangentgroupcomplexhyperkahlerstructureadmitsclosed
read the original abstract
Let G be compact Lie group. It is shown that the cotangent bundle of the complexification of G admits a hyperkahler structure which is invariant under left and right translations by elements of G. The proof is to realize the cotangent bundle of the complex group as a moduli space of solutions to Nahm's equations on the closed interval.
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