The Structure of Groups with a Quasiconvex Hierarchy : : (AMS-209) /

The Structure of Groups with a Quasiconvex Hierarchy : : (AMS-209) / / Daniel T. Wise.

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 generalizing ideas from t...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2021 English
VerfasserIn:
Wise, Daniel T.,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2021]
©2021
Year of Publication:2021
Language:English
Series:Annals of Mathematics Studies ; 366
Online Access:
Physical Description:1 online resource (376 p.) :; 166 color illus.
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Table of Contents:
  • Frontmatter
  • Contents
  • Acknowledgments
  • Chapter One Introduction
  • Chapter Two CAT(0) Cube Complexes
  • Chapter Three Cubical Small-Cancellation Theory
  • Chapter Four Torsion and Hyperbolicity
  • Chapter Five New Walls and the B(6) Condition
  • Chapter Six Special Cube Complexes
  • Chapter Seven Cubulations
  • Chapter Eight Malnormality and Fiber-Products
  • Chapter Nine Splicing Walls
  • Chapter Ten Cutting X ∗
  • Chapter Eleven Hierarchies
  • Chapter Twelve Virtually Special Quotient Theorem
  • Chapter Thirteen Amalgams of Virtually Special Groups
  • Chapter Fourteen Large Fillings Are Hyperbolic and Preservation of Quasiconvexity
  • Chapter Fifteen Relatively Hyperbolic Case
  • Chapter Sixteen Largeness and Omnipotence
  • Chapter Seventeen Hyperbolic 3-Manifolds with a Geometrically Finite Incompressible Surface
  • Chapter Eighteen Limit Groups and Abelian Hierarchies
  • Chapter Nineteen Application Towards One-Relator Groups
  • Chapter Twenty Problems
  • References
  • Index

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