A hyperkahler structure on the cotangent bundle of a complex Lie group

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dc.creatorKronheimer, P. B.
dc.date2004-09-15
dc.date.accessioned2026-07-07T05:12:08Z
dc.date.available2026-07-07T05:12:08Z
dc.descriptionLet 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.
dc.descriptionThis paper was originally written in 1988 but not published. It is being made available now in electronic form
dc.identifierhttps://arxiv.org/abs/math/0409253
dc.identifierhttp://arxiv.org/abs/math/0409253
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72478
dc.subjectDifferential Geometry
dc.subjectSymplectic Geometry
dc.subject53C26 (Primary) 53C28, 53D30 (Secondary)
dc.titleA hyperkahler structure on the cotangent bundle of a complex Lie group
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