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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2024 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Book Review

The AMS does not provide abstracts of book reviews. You may download the entire review from the links below.


MathSciNet review: 2729897
Full text of review: PDF   This review is available free of charge.
Book Information:

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

References [Enhancements On Off] (What's this?)

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  • Elisha Falbel and John R. Parker, The moduli space of the modular group in complex hyperbolic geometry, Invent. Math. 152 (2003), no. 1, 57–88. MR 1965360, DOI 10.1007/s00222-002-0267-2
  • Elisha Falbel and Valentino Zocca, A Poincaré’s polyhedron theorem for complex hyperbolic geometry, J. Reine Angew. Math. 516 (1999), 133–158. MR 1724618, DOI 10.1515/crll.1999.082
  • William M. Goldman, Complex hyperbolic geometry, Oxford Mathematical Monographs, The Clarendon Press, Oxford University Press, New York, 1999. Oxford Science Publications. MR 1695450
  • William M. Goldman and John R. Parker, Complex hyperbolic ideal triangle groups, J. Reine Angew. Math. 425 (1992), 71–86. MR 1151314
  • Nikolay Gusevskii and John R. Parker, Complex hyperbolic quasi-Fuchsian groups and Toledo’s invariant, Geom. Dedicata 97 (2003), 151–185. Special volume dedicated to the memory of Hanna Miriam Sandler (1960–1999). MR 2003696, DOI 10.1023/A:1023616618854
  • John R. Parker, Unfaithful complex hyperbolic triangle groups. I. Involutions, Pacific J. Math. 238 (2008), no. 1, 145–169. MR 2443511, DOI 10.2140/pjm.2008.238.145
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  • Richard Evan Schwartz, Ideal triangle groups, dented tori, and numerical analysis, Ann. of Math. (2) 153 (2001), no. 3, 533–598. MR 1836282, DOI 10.2307/2661362
  • Richard Evan Schwartz, Degenerating the complex hyperbolic ideal triangle groups, Acta Math. 186 (2001), no. 1, 105–154. MR 1828374, DOI 10.1007/BF02392717
  • Richard Evan Schwartz, Complex hyperbolic triangle groups, Proceedings of the International Congress of Mathematicians, Vol. II (Beijing, 2002) Higher Ed. Press, Beijing, 2002, pp. 339–349. MR 1957045
  • Richard Evan Schwartz, A better proof of the Goldman-Parker conjecture, Geom. Topol. 9 (2005), 1539–1601. MR 2175152, DOI 10.2140/gt.2005.9.1539
  • Richard Evan Schwartz, Spherical CR geometry and Dehn surgery, Annals of Mathematics Studies, vol. 165, Princeton University Press, Princeton, NJ, 2007. MR 2286868, DOI 10.1515/9781400837199
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    Review Information:

    Reviewer: John R. Parker
    Affiliation: Durham University
    Journal: Bull. Amer. Math. Soc. 46 (2009), 369-376
    DOI: https://doi.org/10.1090/S0273-0979-08-01226-3
    Published electronically: December 23, 2008
    Review copyright: © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.