Hyper-Kahler metric on

The purpose of this chapter is to construct a hyper-Kahler metric on the Hilbert scheme of n points on C. This will be accomplished by identifying with a hyper- 

Our approach relies on the description in Theorem 2.1, rather than one given in Theorem 1.14. However, we do not need the proof of Theorem 2.1. Hence the reader who skips Chapter 2 should read the statement of Theorem 2.1 and 2.2. 

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Our hyper-Kahler metric on (C ) " depends on the choice of the hermitian metric on V and W. This hermitian metric should be defined naturally under the identification V = Fd iOz)- Recall that the hyper-Kahler metric on the moduli space of instantons on a hyper-Kahler manifold is induced from the natural L -metric . Do we have a similar natural definition for the hermitian metric on 1/ ... 

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