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3-Manifold Groups
 
Matthias Aschenbrenner University of California, Los Angeles, CA
Stefan Friedl Universität Regensburg, Germany
Henry Wilton University of Cambridge, United Kingdom
A publication of European Mathematical Society
Front Cover for 3-Manifold Groups
Available Formats:
Softcover ISBN: 978-3-03719-154-5
Product Code: EMSSERLEC/20
230 pp 
List Price: $48.00
AMS Member Price: $38.40
Front Cover for 3-Manifold Groups
Click above image for expanded view
3-Manifold Groups
Matthias Aschenbrenner University of California, Los Angeles, CA
Stefan Friedl Universität Regensburg, Germany
Henry Wilton University of Cambridge, United Kingdom
A publication of European Mathematical Society
Available Formats:
Softcover ISBN:  978-3-03719-154-5
Product Code:  EMSSERLEC/20
230 pp 
List Price: $48.00
AMS Member Price: $38.40
  • Book Details
     
     
    EMS Series of Lectures in Mathematics
    Volume: 202015
    MSC: Primary 57; Secondary 20;

    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 focusing 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.

    Readership

    Graduate students and researchers interested in the field of 3-manifold topology.

  • Request Review Copy
Volume: 202015
MSC: Primary 57; Secondary 20;

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 focusing 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.

Readership

Graduate students and researchers interested in the field of 3-manifold topology.

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