3-manifold groups /
The field of 3-manifold topology has made great strides forward since 1982, when Thurston articulated his influential list of questions. Primary among these is Perelman's proof of the Geometrization Conjecture, but other highlights include the Tameness Theorem of Agol and Calegari-Gabai, the Su...
| Main Authors: | , , , , |
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| Format: | Book |
| Language: | English |
| Published: |
Zurich, Switzerland :
European Mathematical Society,
[2015]
[Place of publication not identified] European Mathematical Society 2015 |
| Series: | EMS series of lectures in mathematics
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| Subjects: |
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| 245 | 1 | 0 | |a 3-manifold groups / |c Matthias Aschenbrenner, Stefan Friedl, Henry Wilton |
| 264 | 1 | |a Zurich, Switzerland : |b European Mathematical Society, |c [2015] | |
| 264 | 4 | |c ©2015 | |
| 264 | 3 | 1 | |a [Place of publication not identified] |b European Mathematical Society |c 2015 |
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| 490 | 0 | |a EMS series of lectures in mathematics 3-manifold groups | |
| 490 | 1 | |a EMS series of lectures in mathematics | |
| 500 | |a Bibliographic Level Mode of Issuance: Monograph | ||
| 504 | |a Includes bibliographical references and index | ||
| 520 | |a The field of 3-manifold topology has made great strides forward since 1982, when Thurston articulated his influential list of questions. Primary among these is Perelman's proof of the Geometrization Conjecture, but other highlights include the Tameness Theorem of Agol and Calegari-Gabai, the Surface Subgroup Theorem of Kahn-Markovic, the work of Wise and others on special cube complexes, and finally Agol's proof of the Virtual Haken Conjecture. This book summarizes all these developments and provides an exhaustive account of the current state of the art of 3-manifold topology, especially focussing on the consequences for fundamental groups of 3-manifolds. As the first book on 3-manifold topology that incorporates the exciting progress of the last two decades, it will be an invaluable resource for researchers in the field who need a reference for these developments. It also gives a fast-paced introduction to this material - although some familiarity with the fundamental group is recommended, little other previous knowledge is assumed, and the book is accessible to graduate students. The book closes with an extensive list of open questions, which will also be of interest to graduate students and established researchers alike | ||
| 520 | |a The field of 3-manifold topology has made great strides forward since 1982, when Thurston articulated his influential list of questions. Primary among these is Perelmans proof of the Geometrization Conjecture, but other highlights include the Tameness Theorem of Agol and Calegari-Gabai, the Surface Subgroup Theorem of Kahn-Markovic, the work of Wise and others on special cube complexes, and finally Agols proof of the Virtual Haken Conjecture. This book summarizes all these developments and provides an exhaustive account of the current state of the art of 3-manifold topology, especially focussing on the consequences for fundamental groups of 3-manifolds. As the first book on 3-manifold topology that incorporates the exciting progress of the last two decades, it will be an invaluable resource for researchers in the field who need a reference for these developments. It also gives a fast-paced introduction to this material - although some familiarity with the fundamental group is recommended, little other previous knowledge is assumed, and the book is accessible to graduate students. The book closes with an extensive list of open questions, which will also be of interest to graduate students and established researchers alike | ||
| 546 | |a English | ||
| 588 | 0 | |a Online resource; title from PDF title page (EBSCO, viewed February 11, 2016) | |
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| 650 | 0 | |a Fundamental groups (Mathematics) | |
| 650 | 0 | |a Group theory | |
| 650 | 0 | |a Three-manifolds (Topology) | |
| 650 | 7 | |a Algebra |2 HILCC | |
| 650 | 7 | |a Algebra |2 hilcc | |
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| 650 | 7 | |a Group theory |2 fast | |
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| 700 | |a Friedl, Stefan |e Contributor | ||
| 700 | |a Wilton, Henry |e Author | ||
| 700 | |a Wilton, Henry |e Contributor | ||
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