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A primer on mapping class groups

Author: Benson Farb; Dan Margalit
Publisher: Princeton, NJ : Princeton University Press, 2012.
Series: Princeton mathematical series, 49.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"The study of the mapping class group Mod(S) is a classical topic that is experiencing a renaissance. It lies at the juncture of geometry, topology, and group theory. This book explains as many important theorems, examples, and techniques as possible, quickly and directly, while at the same time giving full details and keeping the text nearly self-contained. The book is suitable for graduate students. The book  Read more...
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Document Type: Book
All Authors / Contributors: Benson Farb; Dan Margalit
ISBN: 9780691147949 0691147949
OCLC Number: 587249112
Description: xiv, 472 pages : illustrations ; 24 cm.
Contents: Curves, surfaces, and hyperbolic geometry --
Mapping class group basics --
Dehn twists --
Generating the mapping class group --
Presentations and low-dimensional homology --
The symplectic representation and the Torelli group --
Torsion --
The Dehn-Nielsen-Baer theorem --
Braid groups --
Teichmüller space --
Teichmüller geometry --
Moduli space --
The Nielsen-Thurston classification --
Pseudo-Anosov theory --
Thurston's proof.
Series Title: Princeton mathematical series, 49.
Responsibility: Benson Farb, Dan Margalit.

Abstract:

The study of the mapping class group Mod(S) is a classical topic that experiences a renaissance. It lies at the juncture of geometry, topology, and group theory. This book explains the main  Read more...

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"It is clear that a lot of care has been taken in the production of this book, something that indicates the authors' love for the subject. This book should now become the standard text for the Read more...

 
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