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

Part of: Differential geometry Symplectic geometry, contact geometry Global differential geometry

Published online by Cambridge University Press:  07 January 2019

ZHENXI HUANG
ZHENXI HUANG*
Affiliation:
School of Mathematical Science, University of Adelaide, Adelaide, South Australia 5005, Australia email [email protected]
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Abstract

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Keywords

special Kähler geometryHitchin systemstopological recursion

MSC classification

Primary: 53-02: Research exposition (monographs, survey articles)
Secondary: 53C07: Special connections and metrics on vector bundles (Hermite-Einstein-Yang-Mills) 53D18: Generalized geometries (à la Hitchin) 53D30: Symplectic structures of moduli spaces
Type
Abstracts of Australasian PhD Theses
Information
Bulletin of the Australian Mathematical Society , Volume 99 , Issue 2 , April 2019 , pp. 340 - 341
Copyright
© 2019 Australian Mathematical Publishing Association Inc. 

Footnotes

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

References

Baraglia, D. and Huang, Z., ‘Special Kähler geometry of the Hitchin system and topological recursion’, Preprint, 2017, arXiv:1707.04975.Google Scholar
Eynard, B., ‘A short overview of the “Topological recursion”’, Preprint, 2014, arXiv:1412.3286.Google Scholar
Eynard, B. and Orantin, N., ‘Invariants of algebraic curves and topological expansion’, Commun. Number Theory Phys. 1(2) (2007), 347–452.Google Scholar
Freed, D. S., ‘Special Kähler manifolds’, Comm. Math. Phys. 203(1) (1999), 31–52.Google Scholar
Gaiotto, D., Moore, G. W. and Neitzke, A., ‘Wall-crossing, Hitchin systems and the WKB approximation’, Adv. Math. 234 (2013), 239–403.Google Scholar
Hitchin, N. J., ‘Metrics on moduli spaces’, Contemp. Math. 58 (1986), 157–178.Google Scholar
Hitchin, N. J., ‘The self-duality equations on a Riemann surface’, Proc. Lond. Math. Soc. (3) 55(3) (1987), 59–126.Google Scholar
Hitchin, N. J., ‘Stable bundles and integrable systems’, Duke Math. J. 54(1) (1987), 91–114.Google Scholar
Hitchin, N. J., ‘The moduli space of complex Lagrangian submanifolds’, Asian J. Math. 3 (1999), 77–91.Google Scholar