Volume 18, issue 4 (2018)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 24, 1 issue

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

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

The Journal
About the Journal
Editorial Board
Editorial Interests
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Author Index
To Appear
Other MSP Journals
Link invariants derived from multiplexing of crossings

Haruko Aida Miyazawa, Kodai Wada and Akira Yasuhara

Algebraic & Geometric Topology 18 (2018) 2497–2507

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 mi (i = 1,,n) and an ordered n–component virtual link diagram D, a new virtual link diagram D(m1,,mn) is obtained from D by the multiplexing of all crossings. For welded isotopic virtual link diagrams D and D, the virtual link diagrams D(m1,,mn) and D(m1,,mn) 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.

welded link, multiplexing of crossings, generalized link group, Alexander polynomial
Mathematical Subject Classification 2010
Primary: 57M25, 57M27
Received: 20 October 2017
Revised: 13 February 2018
Accepted: 7 March 2018
Published: 26 April 2018
Haruko Aida Miyazawa
Institute for Mathematics and Computer Science
Tsuda University
Kodai Wada
Faculty of Education and Integrated Arts and Sciences
Waseda University
Akira Yasuhara
Faculty of Commerce
Waseda University