TY  - BOOK
AU  - Aschenbrenner,Matthias
AU  - Aschenbrenner,Matthias
AU  - Friedl,Stefan
AU  - Wilton,Henry
TI  - 3-Manifold Groups
T2  - EMS Series of Lectures in Mathematics (ELM)
SN  - 9783037196540
PY  - 2015///
CY  - Zuerich, Switzerland
PB  - European Mathematical Society Publishing House
KW  - Manifolds and cell complexes
KW  - msc
KW  - Group theory and generalizations
N1  - Restricted to subscribers
N2  - 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
UR  - https://doi.org/10.4171/154
UR  - http://www.ems-ph.org/img/books/aschenbrenner_mini.jpg
ER  -