Geometric and Cohomological Methods in Group Theory
Geometric and Cohomological Methods in Group Theory
Peter H. Kropholler, University of Glasgow
Ian J. Leary, Ohio State University
$69.99
USDGeometric group theory is a vibrant subject at the heart of modern mathematics. It is currently enjoying a period of rapid growth and great influence marked by a deepening of its fertile interactions with logic, analysis and large-scale geometry, and striking progress has been made on classical problems at the heart of cohomological group theory. This volume provides the reader with a tour through a selection of the most important trends in the field, including limit groups, quasi-isometric rigidity, non-positive curvature in group theory, and L2-methods in geometry, topology and group theory. Major survey articles exploring recent developments in the field are supported by shorter research papers, which are written in a style that readers approaching the field for the first time will find inviting.
- An ideal introduction to the field for non-experts
- Survey articles capture the most recent research in this vibrant area of modern mathematics
- Designed for graduate students and researchers in pure mathematics, particularly geometry, topology and group theory
Product details
December 2009Paperback
9780521757249
330 pages
228 × 152 × 20 mm
0.53kg
31 b/w illus. 25 exercises
Available
Table of Contents
- Preface
- List of participants
- 1. Notes on Sela's work: limit groups and Makanin-Razborov diagrams M. Bestvina and M. Feighn
- 2. Solutions to Bestvina & Feighn's exercises on limit groups H. Wilton
- 3. L2-Invariants from the algebraic point of view W. Lück
- 4. Constructing non-positively curved spaces and groups J. McCammond
- 5. Homology and dynamics in quasi-isometric rigidity of once-punctured mapping class groups L. Mosher
- 6. Hattori-Stallings trace and Euler characteristics for groups I. Chatterji and G. Mislin
- 7. Groups of small homological dimension and the Atiyah conjecture P. H. Kropholler, P. Linnell and W. Lück
- 8. Logarithms and assembly maps on Kn(Zl[G]) V. P. Snaith
- 9. On complete resolutions O. Talelli
- 10. Structure theory for branch groups J. S. Wilson.
