Volume 3, issue 1 (2003)

Download this article
For printing
Recent Issues

Volume 19
Issue 7, 3217–3753
Issue 6, 2677–3215
Issue 5, 2151–2676
Issue 4, 1619–2150
Issue 3, 1079–1618
Issue 2, 533–1078
Issue 1, 1–532

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

Author Index
The Journal
About the Journal
Editorial Board
Subscriptions
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Ethics Statement
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
To Appear
 
Other MSP Journals
What is a virtual link?

Greg Kuperberg

Algebraic & Geometric Topology 3 (2003) 587–591

arXiv: math.GT/0208039

Abstract

Several authors have recently studied virtual knots and links because they admit invariants arising from R–matrices. We prove that every virtual link is uniquely represented by a link L S × I in a thickened, compact, oriented surface S such that the link complement (S × I) L has no essential vertical cylinder.

Keywords
virtual link, tetravalent graph, stable equivalence
Mathematical Subject Classification 2000
Primary: 57M25
Secondary: 57M27 57M15
References
Forward citations
Publication
Received: 18 August 2002
Revised: 15 June 2003
Accepted: 23 October 2002
Published: 21 June 2003
Authors
Greg Kuperberg
Department of Mathematics
University of California
Davis, CA 95616
USA