Access

You are not currently logged in.

Access your personal account or get JSTOR access through your library or other institution:

login

Log in to your personal account or through your institution.

If You Use a Screen Reader

This content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.

The Connectivity of Multicurves Determined by Integral Weight Train Tracks

Andrew Haas and Perry Susskind
Transactions of the American Mathematical Society
Vol. 329, No. 2 (Feb., 1992), pp. 637-652
DOI: 10.2307/2153956
Stable URL: http://www.jstor.org/stable/2153956
Page Count: 16
  • Read Online (Free)
  • Download ($30.00)
  • Subscribe ($19.50)
  • Cite this Item
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
The Connectivity of Multicurves Determined by Integral Weight Train Tracks
Preview not available

Abstract

An integral weighted train track on a surface determines the isotopy class of an embedded closed 1-manifold. We are interested in the connectivity of the resulting 1-manifold. In general there is an algorithm for determining connectivity, and in the simplest case of a 2-parameter train track on a surface of genus one there is an explicit formula. We derive a formula for the connectivity of the closed 1-manifold determined by a 4-parameter train track on a surface of genus two which is computable in polynomial time. We also give necessary and sufficient conditions on the parameters for the resulting 1-manifold to be connected.

Page Thumbnails

  • Thumbnail: Page 
637
    637
  • Thumbnail: Page 
638
    638
  • Thumbnail: Page 
639
    639
  • Thumbnail: Page 
640
    640
  • Thumbnail: Page 
641
    641
  • Thumbnail: Page 
642
    642
  • Thumbnail: Page 
643
    643
  • Thumbnail: Page 
644
    644
  • Thumbnail: Page 
645
    645
  • Thumbnail: Page 
646
    646
  • Thumbnail: Page 
647
    647
  • Thumbnail: Page 
648
    648
  • Thumbnail: Page 
649
    649
  • Thumbnail: Page 
650
    650
  • Thumbnail: Page 
651
    651
  • Thumbnail: Page 
652
    652