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Название: Kleinian Groups and Hyperbolic 3-Manifolds
Авторы: Y. Komori, V. Markovic, C. Series
Аннотация:
This volume forms the proceedings of the workshop Kleinian Groups and Hyperbolic 3- Manifolds which was held at the Mathematics Institute, University of Warwick, 11–15 Septem- ber 2001. Almost 80 people took part, many travelling large distances to come.
The workshop was organised around six expository lectures by Yair Minsky on the combi- natorial part of his programme to extend his results on Thurston’s ending lamination conjecture for once punctured tori to general surfaces. Not long after the workshop, a complete proof of the conjecture was announced by Brock, Canary and Minsky. This is undoubtedly one of the most important developments in the subject in the last decade, paving the way for a complete under- standing of the internal geometry of hyperbolic 3-manifolds, and involving deep understanding of the fascinating links between this geometry and the combinatorics of the curve complex. Minsky’s lectures, reproduced in this volume, give an invaluable overview.