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A primer on mapping class groups

Author: Benson Farb; Dan Margalit
Publisher: Princeton (N.J.) ; Oxford : Princeton University Press, cop. 2012.
Series: Princeton mathematical series, 49.
Edition/Format:   Print book : EnglishView all editions and formats
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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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Document Type: Book
All Authors / Contributors: Benson Farb; Dan Margalit
ISBN: 0691147949 9780691147949
OCLC Number: 800836866
Description: 1 vol. (XIV-472 p.) : Ill. ; 24 cm.
Contents: *Frontmatter, pg. i*Contents, pg. vii*Preface, pg. xi*Acknowledgments, pg. xiii*Overview, pg. 1*Chapter One. Curves, Surfaces, and Hyperbolic Geometry, pg. 17*Chapter Two. Mapping Class Group Basics, pg. 44*Chapter Three. Dehn Twists, pg. 64*Chapter Four. Generating The Mapping Class Group, pg. 89*Chapter Five. Presentations And Low-Dimensional Homology, pg. 116*Chapter Six. The Symplectic Representation and the Torelli Group, pg. 162*Chapter Seven. Torsion, pg. 200*Chapter Eight. The Dehn-Nielsen-Baer Theorem, pg. 219*Chapter Nine. Braid Groups, pg. 239*Chapter Ten. Teichmuller Space, pg. 263*Chapter Eleven. Teichmuller Geometry, pg. 294*Chapter Twelve. Moduli Space, pg. 342*Chapter Thirteen. The Nielsen-Thurston Classification, pg. 367*Chapter Fourteen. Pseudo-Anosov Theory, pg. 390*Chapter Fifteen. Thurston'S Proof, pg. 424*Bibliography, pg. 447*Index, pg. 465
Series Title: Princeton mathematical series, 49.
Responsibility: Benson Farb and Dan Margalit.

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