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MODULI SPACES OF SURFACES

Published online by Cambridge University Press:  10 April 2015

YI HUANG*
Affiliation:
University of Melbourne, Victoria 3010, Australia email huay@ms.unimelb.edu.au
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Abstract

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Type
Abstracts of Australasian PhD Theses
Copyright
© 2015 Australian Mathematical Publishing Association Inc. 

References

Abikoff, W., The Real Analytic Theory of Teichmüller Space, Lecture Notes in Mathematics, 820 (Springer, Berlin, 1980).Google Scholar
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Huang, Y., ‘A McShane-type identity for closed surfaces’. Nagoya Math. J. to appear, arXiv:1203.3860.Google Scholar
Huang, Y and Norbury, P., Simple geodesics and markoff quads. arXiv:1312.7089.Google Scholar
McShane, G., ‘Simple geodesics and a series constant over Teichmuller space’, Invent. Math. 132(3) (1998), 607632.CrossRefGoogle Scholar
Mirzakhani, M., ‘Simple geodesics and Weil–Petersson volumes of moduli spaces of bordered Riemann surfaces’, Invent. Math. 167(1) (2007), 179222.CrossRefGoogle Scholar
Mirzakhani, M., ‘Growth of the number of simple closed geodesics on hyperbolic surfaces’, Ann. of Math. (2) 168(1) (2008), 97125.CrossRefGoogle Scholar
Penner, R. C., Decorated Teichmüller Theory, QGM Master Class Series (European Mathematical Society (EMS), Zürich, 2012), with a foreword by Yuri I. Manin.CrossRefGoogle Scholar
Rivin, I., ‘Simple curves on surfaces’, Geom. Dedicata 87(1–3) (2001), 345360.CrossRefGoogle Scholar
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