2020 Paperback (ISBN 9781571463906)

2020 Paperback (ISBN 9781571463906)

Advanced Lectures in Mathematics

Volume 48

Handbook of Group Actions V

Editors

Lizhen Ji (Department of Mathematics, University of Michigan)

Athanase Papadopoulos (Institut de Recherche Mathématique Avancée, Université de Strasbourg)

Shing-Tung Yau (Department of Mathematics, Harvard University)

Published: 20 March 2020

Publisher: International Press of Boston, Inc.

Paperback

498 pages

List Price: $60.00

Description

Groups are fundamental objects in mathematics, as they are responsible for the symmetries of any object or system under consideration. The presence of symmetry makes a problem more interesting and, as a general rule, easier to solve. In all cases, it is group action which makes groups useful and important. This is not surprising, since the notion of group was first introduced through group actions as permutation groups on roots of algebraic equations. On the other hand, the single notion of group action includes many different actions arising from various sources.

All of which is amply illustrated by the papers collected in this volume, the fifth Handbook of Group Actions. Topics include: classical geometric groups, geometric group theory, diffeomorphism groups of manifolds, mapping class groups, three-dimensional topology, hyperbolic manifolds, automorphism groups of complex manifolds, dynamics, and number theory.

This volume is part of the Advanced Lectures in Mathematics book series.

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ISBN-10

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2020 Mar

9781571463906

1571463909

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paperback

7” x 10”

In Print

US$60.00