The Poincaré conjecture : Clay Research Conference, resolution of the Poincaré conjecture, Institut Henri Poincaré, Paris, France, June 8-9, 2010
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書誌事項
The Poincaré conjecture : Clay Research Conference, resolution of the Poincaré conjecture, Institut Henri Poincaré, Paris, France, June 8-9, 2010
（Clay mathematics proceedings, v. 19）
American Mathematical Society for Clay Mathematics Institute, c2014
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Includes bibliographical references
内容説明・目次
内容説明
The conference to celebrate the resolution of the Poincare conjecture, which is one of the Clay Mathematics Institute's seven Millennium Prize Problems, was held at the Institut Henri Poincare in Paris, France. 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.
目次
Geometry in 2, 3 and 4 dimensions by M. Atiyah
100 Years of Topology: Work Stimulated by Poincare's Approach to Classifying Manifolds by J. Morgan
The Evolution of Geometric Structures on 3-Manifolds by C. T. McMullen
Invariants of Manifolds and the Classification Problem by S. K. Donaldson
Volumes of Hyperbolic 3-Manifolds by D. Gabai, R. Meyerhoff, and P. Milley
Manifolds: Where do we come from? What are we? Where are we going? by M. Gromov
Geometric Analysis on 4-Manifolds by G. Tian
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