Farb / Margalit A Primer on Mapping Class Groups

Course Book
ISBN: 978-1-4008-3904-9
Verlag: De Gruyter
Format: EPUB
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 512 Seiten

Reihe: Princeton Mathematical Series

Benson Farb is professor of mathematics at the University of Chicago. He is the editor of Problems on Mapping Class Groups and Related Topics and the coauthor of Noncommutative Algebra. Dan Margalit is assistant professor of mathematics at Georgia Institute of Technology.

Autoren/Hrsg.

Farb, Benson

Margalit, Dan

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie

Inhaltsverzeichnis

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. Teichmüller Space, pg. 263
Chapter Eleven. Teichmüller 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

Über Autor(innen)

Benson Farb is professor of mathematics at the University of Chicago. He is the editor of Problems on Mapping Class Groups and Related Topics and the coauthor of Noncommutative Algebra. Dan Margalit is assistant professor of mathematics at Georgia Institute of Technology.