Advances in two-dimensional homotopy and combinatorial group theory /

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Bibliographic Details
Imprint:	Cambridge : Cambridge University Press, 2018. ©2018
Description:	1 online resource (x, 179 pages)
Language:	English
Series:	London Mathematical Society lecture note series ; 446 London Mathematical Society lecture note series ; 446.
Subject:	Homotopy theory. Combinatorial group theory. Low-dimensional topology. Combinatorial group theory. Homotopy theory. Low-dimensional topology.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/13562665

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Other authors / contributors:	Rosebrock, Stephan, editor. Metzler, W. (Wolfgang), editor.
ISBN:	9781108640862 1108640869 9781316555798 1316555798 9781316600900 1316600904
Notes:	Includes bibliographical references and index. Print version record.
Summary:	This volume presents the current state of knowledge in all aspects of two-dimensional homotopy theory. Building on the foundations laid a quarter of a century ago in the volume Two-dimensional Homotopy and Combinatorial Group Theory (LMS 197), the editors here bring together much remarkable progress that has been obtained in the intervening years. And while the fundamental open questions, such as the Andrews-Curtis Conjecture and the Whitehead asphericity problem remain to be (fully) solved, this book will provide both students and experts with an overview of the state of the art and work in progress. Ample references are included to the LMS 197 volume, as well as a comprehensive bibliography bringin#g matters entirely up to date.

Table of Contents:

A survey of recent progress on some problems in 2-dimensional topology / Jens Harlander
Further results concerning the Andrews-Curtis-conjecture and its generalizations / Cynthia Hog-Angeloni and Wolfgang Metzler
Aspects of TQFT and computational algebra / Holger Kaden and Simon King
Labelled oriented trees and the Whitehead-conjecture / Stephan Rosebrock
2-complexes and 3-manifolds / Janina Glock, Cynthia Hog-Angeloni and Sergei Matveev
The relation gap problem / Jens Harlander
On the relation gap problem for free products / Cynthia Hog-Angeloni and Wolfgang Metzler.

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