Untertitel:
(AMS-209)
Verlag:
PRINCETON UNIVERSITY PRESS
Erschienen:
04.05.2021
Seitenanzahl:
376
EAN:
9780691213507
Sprache:
Englisch
Format:
PDF
Schutz:
Adobe-DRM

Structure of Groups with a Quasiconvex Hierarchy

Daniel T. Wise


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inkl. 7% MwSt.
PDF mit Adobe-DRM


<p>This monograph on the applications of cube complexes constitutes a breakthrough in the fields of geometric group theory and 3-manifold topology. Many fundamental new ideas and methodologies are presented here for the first time, including a cubical small-cancellation theory that generalizes ideas from the 1960s, a version of Dehn Filling that functions in the category of special cube complexes, and a variety of results about right-angled Artin groups. The book culminates by establishing a remarkable theorem about the nature of hyperbolic groups that are constructible as amalgams.<br><br>The applications described here include the virtual fibering of cusped hyperbolic 3-manifolds and the resolution of Baumslag's conjecture on the residual finiteness of one-relator groups with torsion. Most importantly, this work establishes a cubical program for resolving Thurston's conjectures on hyperbolic 3-manifolds, and validates this program in significant cases. Illustrated with more than 150 color figures, this book will interest graduate students and researchers working in geometry, algebra, and topology.</p>

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