In differential geometry, the hyperkähler quotient of a hyperkähler manifold acted on by a Lie group G is the quotient of a fiber of a hyperkähler moment map M → g ⊗ R 3 {\displaystyle M\to {\mathfrak {g}}\otimes \mathbb {R} ^{3}} over a G-fixed point by the action of G. It was introduced by Nigel Hitchin, Anders Karlhede, Ulf Lindström, and Martin Roček in 1987. It is a hyperkähler analogue of the Kähler quotient.
In differential geometry, the hyperkähler quotient of a hyperkähler manifold acted on by a Lie group G is the quotient of a fiber of a hyperkähler moment map M → g ⊗ R 3 {\displaystyle M\to {\mathfrak {g}}\otimes \mathbb {R} ^{3}} over a G-fixed point by the action of G. It was introduced by Nigel Hitchin, Anders Karlhede, Ulf Lindström, and Martin Roček in 1987. It is a hyperkähler analogue of the Kähler quotient.
Source: Wikipedia "Hyperkähler quotient" · CC BY-SA 4.0
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