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From riches to raags : 3-manifolds, right-angled artin groups, and cubical geometry

Author: Daniel T Wise
Publisher: Providence, Rhode Island : Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, Providence, Rhode Island with support from the National Science Foundation, [2012]
Series: Regional conference series in mathematics, no. 117.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

This text presents an introduction to the geometric group theory associated with nonpositively curved cube complexes. It advocates the use of cube complexes to understand the fundamental groups of  Read more...

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Document Type: Book
All Authors / Contributors: Daniel T Wise
ISBN: 9780821888001 0821888005
OCLC Number: 809845094
Description: xiii, 141 pages : color illustrations ; 26 cm.
Contents: Overview --
Nonpositively curved cube complexes --
Cubical disk diagrams, hyperplanes, and convexity --
Special cube complexes --
Virtual specialness of malnormal amalgams --
Wallspaces and their dual cube complexes --
Finiteness properties of the dual cube complex --
Cubulating malnormal graphs of cubulated groups --
Cubical small-cancellation theory --Walls in cubical small-cancellation theory --
Annular diagrams --
Virtually special quotients --
Hyperbolicity and quasiconvexity detection --
Hyperbolic groups with a quasiconvex hierarchy --
The relatively hyperbolic setting --
Applications.
Series Title: Regional conference series in mathematics, no. 117.
Responsibility: Daniel T. Wise.

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