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The Poincaré Conjecture
Edited by: James Carlson, Clay Mathematics Institute, Cambridge, MA
A co-publication of the AMS and Clay Mathematics Institute.
Clay Mathematics Proceedings
2014; approx. 178 pp; softcover
Volume: 19
ISBN-10: 0-8218-9865-5
ISBN-13: 978-0-8218-9865-9
List Price: US$69
Member Price: US$55.20
Order Code: CMIP/19
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Not yet published.
Expected publication date is October 20, 2014.
See also:

Ricci Flow and the Poincaré Conjecture - John Morgan and Gang Tian

The Geometrization Conjecture - John Morgan and Gang Tian

The Ricci Flow: An Introduction - Bennett Chow and Dan Knopf

The conference to celebrate the resolution of the Poincaré conjecture, which is one of the Clay Mathematics Institute's seven Millennium Prize Problems, was held at the Institut Henri Poincaré in Paris. Several leading mathematicians gave lectures providing an overview of the conjecture--its history, its influence on the development of mathematics, and, finally, its proof.

This volume contains papers based on the lectures at that conference. Taken together, they form an extraordinary record of the work that went into the solution of one of the great problems of mathematics.

Titles in this series are co-published with the Clay Mathematics Institute (Cambridge, MA).


Graduate students and research mathematicians interested in geometry and topology of manifolds.

Table of Contents

  • M. Atiyah -- Geometry in 2, 3 and 4 dimensions
  • J. Morgan -- 100 Years of Topology: Work Stimulated by Poincaré's Approach to Classifying Manifolds
  • C. T. McMullen -- The Evolution of Geometric Structures on 3-Manifolds
  • S. K. Donaldson -- Invariants of Manifolds and the Classification Problem
  • D. Gabai, R. Meyerhoff, and P. Milley -- Volumes of Hyperbolic 3-Manifolds
  • M. Gromov -- Manifolds: Where do we come from? What are we? Where are we going?
  • G. Tian -- Geometric Analysis on 4-Manifolds
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