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The mapping class group from the viewpoint of measure equivalence theory

About this Title

Yoshikata Kida

Publication: Memoirs of the American Mathematical Society
Publication Year: 2008; Volume 196, Number 916
ISBNs: 978-0-8218-4196-9 (print); 978-1-4704-0522-9 (online)
DOI: https://doi.org/http://dx.doi.org/10.1090/memo/0916
MathSciNet review: 2458794
MSC: Primary 37A20; Secondary 20F38, 28D15, 37A35, 57M60

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Table of Contents

Chapters

  • 1. Introduction
  • 2. Property A for the curve complex
  • 3. Amenability for the action of the mapping class group on the boundary of the curve complex
  • 4. Indecomposability of equivalence relations generated by the mapping class group
  • 5. Classification of the mapping class groups in terms of measure equivalence I
  • 6. Classification of the mapping class groups in terms of measure equivalence II