Knot Theory and Manifolds Proceedings of a Conference held in Vancou
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Knot Theory and Manifolds Proceedings of a Conference held in Vancouver, Canada, June 2-4, 1983
Edited by D. Rolfsen
Spri nger-Verlag Berlin Heidelberg New York Tokyo
Editor
Dale Rolfsen Mathematics Department, University of British Columbia Vancouver, B. C., Canada V6T 1Y4
Mathematics Subject Classification (1980): Primary: 57-06; 57M25; 57N 10 Secondary: 57R30; 20H 10 ISBN 3-540-15680-1 Springer-Verlag Berlin Heidelberg New York Tokyo ISBN 0-387-15680-1 Sprinqer-verlaq New York Heidelberg Berlin Tokyo
Library of Congress Cataloging in Publication Data, Main entry under title: Knot theory and manifolds, (Lecture notes in mathematics; 1144) Based on lectures given at a special session at the summer 1983 meeting of the Canadian Mathematical Society, Bibliography: p. 1, Knot theoryCongresses, 2, Manifolds (Mathematicsr-Conqresses. I. Rolfsen, Dale, II. Canadian Mathematical Society, III, Series: Lecture notes in mathematics (Springer-Verlag); 1144, 0A3,L28 no, 1144 510 s 85-17283 [0A612,2J [514',224J ISBN 0-387-15680-1 (U.S,) This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. Under § 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to "Verwertungsgesellschaft Wort", Munich,
© by Springer-Verlag Berlin Heidelberg 1985 Printed in Germany Printing and binding: Beltz Offsetdruck, Hemsbach/Bergstr. 2146/3140-543210
PREFACE These notes are based on lectures given at the Special Session on Knot Theory and Manifolds at the summer 1983 meeting of the Canadian Mathematical Society in Vancouver, June 2-4.
The contributed papers have been refereed, but the editor must
take responsiblity for errors.
I would like to thank Roberta Egby, Wendy Spaxman
and Sylvia Henley for assistance with the preparation of this volume and wolfgang Holzmann for help with proof reading.
Finally, thanks are due to the participants who made the meeting such a lively one and to the Canadian Natural Sciences and Engineering Research Council, the University of British Columbia Mathematics Department and SUMMS for financial help.
Dale Rolfsen
PARTICIPANTS:
J. Bailey (UBC)
R. Kramer (UBC)
J. Birman (Columbia)
K. Lam (UBC)
S. Bleiler (Texas)
R. Litherland (Cambridge)
D. Gabai (Inst. Adv. Study)
D. Long (Texas)
C. Gordon (Texas)
S. Lomonanco (Diamond Labs)
J. Hempel (Rice)
E. Luft (UBC)
H. Hilden (Hawaii)
T. Maeda (Toronto)
C.
K. Murasugi (Toronto)
Hodgson (Princeton)
W. Holzmann (UBC)
M. Scharlemann (Santa Barbara)
J. Hunt (Centro de Invest. Mexico)
D. Sjerve (UBC)
W. Jaco (Oklahoma State)
TABLE OF CONTENTS
steven A. Bleiler
Prime Tangles and Composite Knots
David Gabai
An
John Hempel
The Finitely Generated Intersection
Internal Hierarchy for 3-Manifolds
14
18
Property for Kleinian Groups
universal Knots
25
Craig Hodgson a
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