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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 huangzhendong2011@163.com
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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
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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
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