The sector of 3-manifold topology has made nice strides ahead considering 1982 whilst Thurston articulated his influential record of questions. fundamental between those is Perelman's facts of the Geometrization Conjecture, yet different highlights contain the Tameness Theorem of Agol and Calegari-Gabai, the outside Subgroup Theorem of Kahn-Markovic, the paintings of clever and others on targeted dice complexes, and, eventually, Agol's evidence of the digital Haken Conjecture. This ebook summarizes some of these advancements and offers an exhaustive account of the present cutting-edge of 3-manifold topology, in particular concentrating on the implications for basic teams of 3-manifolds. because the first publication on 3-manifold topology that comes with the intriguing growth of the final 20 years, will probably be a useful source for researchers within the box who desire a reference for those advancements. It additionally provides a fast paced advent to this fabric. even supposing a few familiarity with the basic crew is usually recommended, little different prior wisdom is believed, and the publication is available to graduate scholars. The publication closes with an in depth record of open questions on the way to even be of curiosity to graduate scholars and tested researchers. A booklet of the ecu Mathematical Society (EMS). disbursed in the Americas by means of the yank Mathematical Society.
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