Abstract:
Using an argument of Jost and Zuo, we give a criterion which implies that the L 2 harmonic forms on a complete noncompact hyperkähler manifold lie in the middle dimension and are invariant under the isometry group. This is applied to various examples, and in particular gives a verification of some of the predictions of Sen on monopole moduli spaces.
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Received: 20 September 1999 / Accepted: 2 November 1999
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Hitchin, N. L 2-Cohomology of Hyperkähler Quotients. Comm Math Phys 211, 153–165 (2000). https://doi.org/10.1007/s002200050806
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DOI: https://doi.org/10.1007/s002200050806