Vol. 74, No. 2, 1978

Recent Issues
Vol. 325: 1
Vol. 324: 1  2
Vol. 323: 1  2
Vol. 322: 1  2
Vol. 321: 1  2
Vol. 320: 1  2
Vol. 319: 1  2
Vol. 318: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Contacts
 
Submission Guidelines
Submission Form
Policies for Authors
 
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Special Issues
Author Index
To Appear
 
Other MSP Journals
The simplest closed 3-manifolds. With an appendix by Osborne and J. Yellen

Richard Paul Osborne

Vol. 74 (1978), No. 2, 481–495
Abstract

Every closed orientable 3-manifold has a Heegaard diagram and corresponding group presentations. We shall show here how to give a complete analysis of all closed orientable 3-manifolds that have genus two Heegaard diagrams having a corresponding presentation one of whose relators contains no more than 4 syllables. This is equivalent to saying that one of the determining simple closed curves in the diagram crosses a “waist band” of the diagram no more than 4 times. In the appendix we have given a catalog of manifolds with two generator presentations and not more than 20 syllables.

Mathematical Subject Classification
Primary: 57A10, 57A10
Milestones
Received: 14 September 1976
Revised: 6 June 1977
Published: 1 February 1978
Authors
Richard Paul Osborne