Classification of the automorphism and isometry groups of Higgs bundle moduli spaces

@article{Baraglia2016ClassificationOT,
  title={Classification of the automorphism and isometry groups of Higgs bundle moduli spaces},
  author={David Baraglia},
  journal={Proceedings of The London Mathematical Society},
  year={2016},
  volume={112},
  pages={827-854}
}
  • David Baraglia
  • Published 2016
  • Mathematics
  • Proceedings of The London Mathematical Society
  • Let $\mathcal{M}_{n,d}$ be the moduli space of semi-stable rank $n$, trace-free Higgs bundles with fixed determinant of degree $d$ on a Riemann surface of genus at least $3$. We determine the following automorphism groups of $\mathcal{M}_{n,d}$: (i) the group of automorphisms as a complex analytic variety, (ii) the group of holomorphic symplectomorphisms, (iii) the group of K\"ahler isomorphisms, (iv) the group of automorphisms of the quaternionic structure, (v) the group of hyper-K\"ahler… CONTINUE READING
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