Translator Disclaimer
2018 Link invariants derived from multiplexing of crossings
Haruko Aida Miyazawa, Kodai Wada, Akira Yasuhara
Algebr. Geom. Topol. 18(4): 2497-2507 (2018). DOI: 10.2140/agt.2018.18.2497

Abstract

We introduce the multiplexing of a crossing, replacing a classical crossing of a virtual link diagram with a mixture of classical and virtual crossings.

For integers  m i ( i = 1 , , n ) and an ordered n –component virtual link diagram D , a new virtual link diagram D ( m 1 , , m n ) is obtained from D by the multiplexing of all crossings. For welded isotopic virtual link diagrams D and D , the virtual link diagrams D ( m 1 , , m n ) and D ( m 1 , , m n ) are welded isotopic. From the point of view of classical link theory, it seems very interesting that new classical link invariants are obtained from welded link invariants via the multiplexing of crossings.

Citation

Download Citation

Haruko Aida Miyazawa. Kodai Wada. Akira Yasuhara. "Link invariants derived from multiplexing of crossings." Algebr. Geom. Topol. 18 (4) 2497 - 2507, 2018. https://doi.org/10.2140/agt.2018.18.2497

Information

Received: 20 October 2017; Revised: 13 February 2018; Accepted: 7 March 2018; Published: 2018
First available in Project Euclid: 3 May 2018

zbMATH: 06867665
MathSciNet: MR3797074
Digital Object Identifier: 10.2140/agt.2018.18.2497

Subjects:
Primary: 57M25, 57M27

Rights: Copyright © 2018 Mathematical Sciences Publishers

JOURNAL ARTICLE
11 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.18 • No. 4 • 2018
MSP
Back to Top