Twistor Quotients of Hyperkähler Manifolds
نویسنده
چکیده
We generalize the hyperkähler quotient construction to the situation where there is no group action preserving the hyperkähler structure but for each complex structure there is an action of a complex group preserving the corresponding complex symplectic structure. Many (known and new) hyperkähler manifolds arise as quotients in this setting. For example, all hyperkähler structures on semisimple coadjoint orbits of a complex semisimple Lie group G arise as such quotients of T ∗G. The generalized Legendre transform construction of Lindström and Roček is also explained in this framework.
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