Advertisement

© 2016

Topology and Geometric Group Theory

Ohio State University, Columbus, USA, 2010–2011

  • Michael W. Davis
  • James Fowler
  • Jean-François Lafont
  • Ian J. Leary
Conference proceedings

Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 184)

Table of contents

  1. Front Matter
    Pages i-xi
    PDF
  2. On Proofs of the Farrell–Jones Conjecture
    Arthur Bartels
    Pages 1-31
  3. The K and L Theoretic Farrell-Jones Isomorphism Conjecture for Braid Groups
    Daniel Juan-Pineda, Luis Jorge Sánchez Saldaña
    Pages 33-43
  4. Ends, Shapes, and Boundaries in Manifold Topology and Geometric Group Theory
    Craig R. Guilbault
    Pages 45-125
  5. A Proof of Sageev’s Theorem on Hyperplanes in CAT(0) Cubical Complexes
    Daniel Farley
    Pages 127-142
  6. Simplicity of Twin Tree Lattices with Non-trivial Commutation Relations
    Pierre-Emmanuel Caprace, Bertrand Rémy
    Pages 143-151
  7. Groups with Many Finitary Cohomology Functors
    Peter H. Kropholler
    Pages 153-171
  8. Back Matter
    Pages 173-174
    PDF

About these proceedings

Introduction

This book presents articles at the interface of two active areas of research: classical topology and the relatively new field of geometric group theory. It includes two long survey articles, one on proofs of the Farrell–Jones conjectures, and the other on ends of spaces and groups. In 2010–2011, Ohio State University (OSU) hosted a special year in topology and geometric group theory. Over the course of the year, there were seminars, workshops, short weekend conferences, and a major conference out of which this book resulted.

Four other research articles complement these surveys, making this book ideal for graduate students and established mathematicians interested in entering this area of research.


Keywords

57-06, 20-06 Farrell-Jones Conjectures CAT(0) cube complex classifying space ends of a space group cohomology geometric group theory OSU Special Year

Editors and affiliations

  • Michael W. Davis
    • 1
  • James Fowler
    • 2
  • Jean-François Lafont
    • 3
  • Ian J. Leary
    • 4
  1. 1.Department of MathematicsOhio State UniversityColumbusUSA
  2. 2.Department of MathematicsOhio State UniversityColumbusUSA
  3. 3.Department of MathematicsOhio State University Department of MathematicsColumbusUSA
  4. 4.Mathematical SciencesUniversity of SouthamptonSouthamptonUnited Kingdom

Bibliographic information

  • Book Title Topology and Geometric Group Theory
  • Book Subtitle Ohio State University, Columbus, USA, 2010–2011
  • Editors Michael W. Davis
    James Fowler
    Jean-François Lafont
    Ian J. Leary
  • Series Title Springer Proceedings in Mathematics & Statistics
  • Series Abbreviated Title Springer Proceedings in Mathematics & Statistics
  • DOI https://doi.org/10.1007/978-3-319-43674-6
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Hardcover ISBN 978-3-319-43673-9
  • Softcover ISBN 978-3-319-82883-1
  • eBook ISBN 978-3-319-43674-6
  • Series ISSN 2194-1009
  • Series E-ISSN 2194-1017
  • Edition Number 1
  • Number of Pages XI, 174
  • Number of Illustrations 10 b/w illustrations, 0 illustrations in colour
  • Topics Manifolds and Cell Complexes (incl. Diff.Topology)
    Group Theory and Generalizations
  • Buy this book on publisher's site