|
|||||
|
|
|
|
|
|
|
|
|
|
|
|
|
An algorithm taking
Kirby diagrams to trisection diagrams
Willi Kepplinger |
|
Vol. 318 (2022), No. 1, 109–126
|
|
DOI: 10.2140/pjm.2022.318.109
|
Abstract |
|
We present an algorithm taking a Kirby diagram of a closed oriented -manifold to a trisection diagram of the same manifold. This algorithm provides us with a large number of examples of trisection diagrams of closed oriented -manifolds, since many Kirby-diagrammatic descriptions of closed oriented -manifolds are known. That being said, the algorithm does not necessarily provide particularly efficient trisection diagrams. We also extend this algorithm to work for the nonorientable case. |
PDF Access Denied
We have not been able to recognize your IP address
3.131.13.194
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
trisection, Kirby diagram, 4-manifold topology
|
Mathematical Subject Classification
Primary: 57K40
|
Milestones
Received: 25 November 2021
Revised: 13 April 2022
Accepted: 16 April 2022
Published: 1 August 2022
|
Authors |
| Willi Kepplinger | |
| Department of Mathematics University of Vienna Vienna Austria |
|
