Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-28T16:11:55.300Z Has data issue: false hasContentIssue false
  • English
  • Français

MODULI SPACES OF SURFACES

Part of: Riemann surfaces Spaces and manifolds of mappings Deformations of analytic structures

Published online by Cambridge University Press:  10 April 2015

YI HUANG
YI HUANG*
Affiliation:
University of Melbourne, Victoria 3010, Australia email [email protected]
Rights & Permissions [Opens in a new window]

Abstract

An abstract is not available for this content so a preview has been provided. As you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'

Keywords

Riemann surfaceshyperbolic surfacesTeichmüller theorymoduli space theoryWeil–Petersson geometryMcShane identity

MSC classification

Primary: 32G15: Moduli of Riemann surfaces, Teichmüller theory
Secondary: 58D27: Moduli problems for differential geometric structures 30F60: Teichmüller theory
Type
Abstracts of Australasian PhD Theses
Information
Bulletin of the Australian Mathematical Society , Volume 92 , Issue 1 , August 2015 , pp. 168 - 170
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
Fathi, A., Laudenbach, F. and Poénaru, V., Thurston’s work on surfaces, Mathematical Notes, 48 (Princeton University Press, Princeton, NJ, 2012), translated from the 1979 French original by Djun M. Kim and Dan Margalit.CrossRefGoogle Scholar
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), 607–632.CrossRefGoogle Scholar
Mirzakhani, M., ‘Simple geodesics and Weil–Petersson volumes of moduli spaces of bordered Riemann surfaces’, Invent. Math. 167(1) (2007), 179–222.CrossRefGoogle Scholar
Mirzakhani, M., ‘Growth of the number of simple closed geodesics on hyperbolic surfaces’, Ann. of Math. (2) 168(1) (2008), 97–125.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), 345–360.CrossRefGoogle Scholar