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METRICS AND SPECIAL KÄHLER GEOMETRY ON THE MODULI SPACES OF HIGGS BUNDLES AND HITCHIN SYSTEMS

  • ZHENXI HUANG (a1)
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Thesis submitted to the University of Adelaide in October 2018; degree approved on 29 October 2018; principal supervisor Mathai Varghese; co-supervisor David Baraglia.

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[1] Baraglia, D. and Huang, Z., ‘Special Kähler geometry of the Hitchin system and topological recursion’, Preprint, 2017, arXiv:1707.04975.
[2] Eynard, B., ‘A short overview of the “Topological recursion”’, Preprint, 2014, arXiv:1412.3286.
[3] Eynard, B. and Orantin, N., ‘Invariants of algebraic curves and topological expansion’, Commun. Number Theory Phys. 1(2) (2007), 347452.
[4] Freed, D. S., ‘Special Kähler manifolds’, Comm. Math. Phys. 203(1) (1999), 3152.
[5] Gaiotto, D., Moore, G. W. and Neitzke, A., ‘Wall-crossing, Hitchin systems and the WKB approximation’, Adv. Math. 234 (2013), 239403.
[6] Hitchin, N. J., ‘Metrics on moduli spaces’, Contemp. Math. 58 (1986), 157178.
[7] Hitchin, N. J., ‘The self-duality equations on a Riemann surface’, Proc. Lond. Math. Soc. (3) 55(3) (1987), 59126.
[8] Hitchin, N. J., ‘Stable bundles and integrable systems’, Duke Math. J. 54(1) (1987), 91114.
[9] Hitchin, N. J., ‘The moduli space of complex Lagrangian submanifolds’, Asian J. Math. 3 (1999), 7791.
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Bulletin of the Australian Mathematical Society
  • ISSN: 0004-9727
  • EISSN: 1755-1633
  • URL: /core/journals/bulletin-of-the-australian-mathematical-society
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