Generators For The Cohomology Ring of The Moduli Space of Rank 2 Higgs Bundles

@article{Hausel2000GeneratorsFT,
  title={Generators For The Cohomology Ring of The Moduli Space of Rank 2 Higgs Bundles},
  author={Tam{\'a}s Hausel and Michael Thaddeus},
  journal={Proceedings of The London Mathematical Society},
  year={2000},
  volume={88},
  pages={632-658}
}
  • Tamás Hausel, Michael Thaddeus
  • Published 2000
  • Mathematics, Physics
  • Proceedings of The London Mathematical Society
  • The moduli space of stable vector bundles on a Riemann surface is smooth when the rank and degree are coprime, and is diffeomorphic to the space of unitary connections of central constant curvature. A classic result of Newstead and Atiyah and Bott asserts that its rational cohomology ring is generated by the universal classes, that is, by the Kunneth components of the Chern classes of the universal bundle. This paper studies the larger, non-compact moduli space of Higgs bundles, as introduced… CONTINUE READING

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