L2-Cohomology of Hyperkähler Quotients

  title={L2-Cohomology of Hyperk{\"a}hler Quotients},
  author={N. Hitchin},
  journal={Communications in Mathematical Physics},
  • N. Hitchin
  • Published 2000
  • Mathematics
  • Communications in Mathematical Physics
Abstract: Using an argument of Jost and Zuo, we give a criterion which implies that the L2 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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