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Advances in two-dimensional homotopy and combinatorial group theory

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Presents the current state of knowledge in all aspects of two-dimensional homotopy theory. Useful for both students and experts.

Abstract:
Building on the foundations laid in the 1993 volume, Two-dimensional Homotopy and Combinatorial Group Theory, the editors bring together much remarkable progress that has since been made in the  Read more...

Author(s): Metzler W., Rosebrock S. (eds.)
Publisher: Cambridge University Press
Year: 2018

Language: English
Pages: 192

Content: Preface Wolfgang Metzler and Stephan Rosebrock
List of contributors
1. A survey of recent progress on some problems in 2-dimensional topology Jens Harlander
Appendix: geometric realization for algebraic 2-complexes with finite fundamental group F. Rudolf Beyl and Jens Harlander
2. Further results concerning the Andrews-Curtis conjecture and its generalizations Cynthia Hog-Angeloni and Wolfgang Metzler
3. Aspects of TQFT and computational algebra Holger Kaden and Simon King
4. Labelled oriented trees and the Whitehead conjecture Stephan Rosebrock and Jens Harlander
5. 2-complexes and 3-manifolds Janina Glock, Cynthia Hog-Angeloni and Sergei Matveev
6. The relation gap problem Jens Harlander
7. On the relation gap problem for free products Cynthia Hog-Angeloni and Wolfgang Metzler
References
Index
Erratum.