This article is available for purchase or by subscription. See below.
Abstract
|
We give a complete characterization of the topological slice status of odd
–strand pretzel knots,
proving that an odd
–strand
pretzel knot is topologically slice if and only if it either is ribbon or has
trivial Alexander polynomial. We also show that topologically slice even
–strand
pretzel knots, except perhaps for members of Lecuona’s exceptional family, must
be ribbon. These results follow from computations of the Casson–Gordon
–manifold
signature invariants associated to the double branched covers of these knots.
|
PDF Access Denied
However, your active subscription may be available on Project Euclid at
https://projecteuclid.org/agt
We have not been able to recognize your IP address
3.232.96.22
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 40.00:
Keywords
knot concordance, pretzel knots
|
Mathematical Subject Classification 2010
Primary: 57M25
Secondary: 57N70
|
Publication
Received: 1 November 2016
Revised: 15 April 2017
Accepted: 13 June 2017
Published: 19 September 2017
|
|