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Genera of the arborescent links

About this Title

David Gabai

Publication: Memoirs of the American Mathematical Society
Publication Year: 1986; Volume 59, Number 339
ISBNs: 978-0-8218-2341-5 (print); 978-1-4704-0752-0 (online)
MathSciNet review: 823442
MSC: Primary 57M25; Secondary 57M35, 57N10, 57R20, 57R30, 57R95

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Table of Contents


  • Genera of the aborescent links (by David Gabai)
  • 1. Definitions and facts
  • 2. Every oriented arborescent link can be represented by a tree
  • 3. Pretzel links
  • 4. Taut foliations and flat minimal surfaces
  • 5. Kinoshita Terasaka tangles
  • 6. $A$ surfaces
  • 7. The construction
  • Appendix A. The practical way to operate
  • Appendix B. A dictionary of local disc decompositions
  • A norm for the homology of 3-maniflods (by William P. Thurston)
  • 0. Introduction
  • 1. Definition of $x$ and proof of Theorem 1
  • 2. The unit ball
  • 3. Fibrations and foliations
  • 4. Some families of examples
  • 5. The unknown