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ISSN 1088-9485(e) ISSN 0273-0979(p)

Book Review

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Book Information

Author(s): Richard Evan Schwartz
Title: Spherical CR geometry and Dehn surgery
Additional book information: Princeton University Press, 2007, 186 pp., (paperback) ISBN 978-0-691-12810-8

References:

1.: E. Falbel and P.-V. Koseleff; A circle of modular groups in ${\rm PU}(2,1)$ . Math. Res. Lett. 9 (2002), 379-391. MR 1909651 (2003h:57045)
2.: E. Falbel and J.R. Parker; The moduli space of the modular group in complex hyperbolic geometry. Invent. Math., 152 (2003), 57-88. MR 1965360 (2004c:32051)
3.: E. Falbel and V. Zocca; A Poincaré's polyhedron theorem for complex hyperbolic geometry. J. Reine Angew. Math., 516 (1999), 133-158. MR 1724618 (2000k:32023)
4.: W.M. Goldman; Complex Hyperbolic Geometry. Oxford University Press, 1999. MR 1695450 (2000g:32029)
5.: W.M. Goldman and J.R. Parker; Complex hyperbolic ideal triangle groups. J. Reine Angew. Math., 425 (1992), 71-86. MR 1151314 (93c:20076)
6.: N. Gusevskii and J.R. Parker; Complex hyperbolic quasi-Fuchsian groups and Toledo's invariant. Geometriae Dedicata, 97 (2003), 151-185. MR 2003696 (2004m:57033)
7.: J.R. Parker; Unfaithful complex hyperbolic triangle groups I: Involutions. Pacific J. Math., 238 (2008), 145-169.MR 2443511
8.: J.R. Parker, Complex Hyperbolic Kleinian Groups. Cambridge University Press (to appear).
9.: R.E. Schwartz; Ideal triangle groups, dented tori and numerical analysis. Annals of Math., 153 (2001), 533-598. MR 1836282 (2002j:57031)
10.: R.E. Schwartz; Degenerating the complex hyperbolic ideal triangle groups. Acta Math., 186 (2001), 105-154. MR 1828374 (2002e:20079)
11.: R.E. Schwartz; Complex hyperbolic triangle groups. Proceedings of the International Congress of Mathematicians. Vol II, pp. 339-349, ed: T. Li, Beijing, 2002. MR 1957045 (2004b:57002)
12.: R.E. Schwartz; A better proof of the Goldman-Parker conjecture. Geom. Topol., 9 (2005), 1539-1601. MR 2175152 (2006j:20063)
13.: R.E. Schwartz; Spherical CR Geometry and Dehn Surgery. Annals of Math. Studies 165, 2007. MR 2286868
14.: W.P. Thurston; The Geometry and Topology of Three-Manifolds. Lecture Notes from Princeton University, 1978-1980.

Additional Information:

Reviewer(s):
John R. Parker
Affiliation: Durham University

Review Information:
Journal: Bull. Amer. Math. Soc. 46 (2009), 369-376.

MSC (2000): Primary 51M10, 32V15, 57N16
DOI: 10.1090/S0273-0979-08-01226-3
PII: S 0273-0979(08)01226-3
Posted: December 23, 2008
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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