Twistor quotients of hyperkähler manifolds (Q2715729)
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scientific article; zbMATH DE number 1599957
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Twistor quotients of hyperkähler manifolds |
scientific article; zbMATH DE number 1599957 |
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20 November 2001
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deformations of hyper-Kähler structures
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generalized Legendre transform
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hyper-Kähler quotient
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twistor group
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twistor space
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hyper-Kähler manifold
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Twistor quotients of hyperkähler manifolds (English)
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The author generalizes the standard hyper-Kähler quotient construction to the situation where for each complex structure there is an action of a complex group preserving the corresponding complex symplectic structure. This gives a bundle of complex groups over \(CP^1\), called a twistor group, which acts fibrewise on the twistor space of a hyper-Kähler manifold. The purpose of this paper is to introduce and discuss the concept of these twistor groups, and to describe several examples.NEWLINENEWLINEFor the entire collection see [Zbl 0958.00032].
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