Conway Products and links with multiple bridge surfaces

Martin Scharlemann; Maggy Tomova

doi:10.1307/mmj/1213972401

Back

Conway Products and links with multiple bridge surfaces

Journal article

Open access

Peer reviewed

Conway Products and links with multiple bridge surfaces

Martin Scharlemann and Maggy Tomova

The Michigan mathematical journal, Vol.56(1), pp.113-144

2008

DOI: 10.1307/mmj/1213972401

Files and links (1)

url

https://doi.org/10.1307/mmj/1213972401View

Published (Version of record) Open Access

Abstract

Suppose a link K in a 3-manifold M is in bridge position with respect to two different bridge surfaces P and Q, both of which are c-weakly incompressible in the complement of K. Then either P and Q can be properly isotoped to intersect in a nonempty collection of curves that are essential (including non-meridional) on both surfaces, or K is a Conway product with respect to an incompressible Conway sphere that naturally decomposes both P and Q into bridge surfaces for the respective factor link(s).

Details

Title: Subtitle: Conway Products and links with multiple bridge surfaces
Creators: Martin Scharlemann
Maggy Tomova
Resource Type: Journal article
Publication Details: The Michigan mathematical journal, Vol.56(1), pp.113-144
DOI: 10.1307/mmj/1213972401
ISSN: 0026-2285
eISSN: 1945-2365
Language: English
Date published: 2008
Academic Unit: Mathematics; Liberal Arts and Science Admin
Record Identifier: 9983985973802771

Metrics

10 Record Views

3 Times Cited - Web of Science