Skip to Main Content


AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution


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)
DOI: https://doi.org/10.1090/memo/0339
MathSciNet review: 823442
MSC: Primary 57M25; Secondary 57M35, 57N10, 57R20, 57R30, 57R95

PDF View full volume as PDF

View other years and numbers:

Table of Contents

Chapters

  • 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