This article is available for purchase or by subscription. See below.
Abstract
|
|
We introduce stable equivalence classes of oriented links in orientable three-manifolds that are
orientation –bundles
over closed but not necessarily orientable surfaces. We call these twisted virtual links
and show that they subsume the virtual knots introduced by L Kauffman and the
projective links introduced by Yu V Drobotukhina. We show that these links have
unique minimal genus three-manifolds. We use link diagrams to define an extension of
the Jones polynomial for these links and show that this polynomial fails to
distinguish two-colorable links over nonorientable surfaces from non-two-colorable
virtual links.
|
PDF Access Denied
Warning:
We have not been able to recognize your IP address 47.88.87.18
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form.
Or, visit our
subscription page
for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org or by using our contact form.
Or, you may purchase this single article for USD 29.95:
Keywords
virtual link, projective link, stable equivalence, Jones
polynomial, fundamental group
|
Mathematical Subject Classification 2000
Primary: 57M25, 57M27, 57M15, 57M05
|
Publication
Received: 10 August 2006
Accepted: 14 November 2007
Published: 26 July 2008
|
|
