Vanishing of intersection numbers on the moduli space of Higgs bundles

@article{Hausel1998VanishingOI,
  title={Vanishing of intersection numbers on the moduli space of Higgs bundles},
  author={Tam{\'a}s Hausel},
  journal={arXiv: Algebraic Geometry},
  year={1998}
}
  • Tamás Hausel
  • Published 1998
  • Mathematics, Physics
  • arXiv: Algebraic Geometry
In this paper we consider the topological side of a problem which is the analogue of Sen's S-duality testing conjecture for Hitchin's moduli space of rank 2 stable Higgs bundles of fixed determinant of odd degree over a Riemann surface. We prove that all intersection numbers in the compactly supported cohomology vanish, i.e. "there are no topological L^2 harmonic forms on Hitchin's space". This result generalizes the well known vanishing of the Euler characteristic of the moduli space of rank 2… Expand
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