Affiliation:
1. Mechanical and Mathematical Department, Moscow State University, Russia
Abstract
There are some phenomena arising in the virtual knot theory which are not the case for classical knots. One of them deals with the "breaking" procedure of knots and obtaining long knots. Unlike the classical case, they might not be the same. The present work is devoted to construction of some invariants of long virtual links. Several explicit examples are given. For instance, we show how to prove the non-triviality of some knots obtained by breaking virtual unknot diagrams by very simple means.
Publisher
World Scientific Pub Co Pte Lt
Subject
Algebra and Number Theory
Cited by
18 articles.
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1. Homological invariants of links in a thickened surface;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2019-12-06
2. A family of polynomial invariants for knotoids;Journal of Knot Theory and Its Ramifications;2018-10
3. A POLYNOMIAL INVARIANT OF VIRTUAL LINKS;Journal of Knot Theory and Its Ramifications;2013-10
4. BIRACK SHADOW MODULES AND THEIR LINK INVARIANTS;Journal of Knot Theory and Its Ramifications;2013-09
5. Parity in knot theory and graph-links;Journal of Mathematical Sciences;2013-08-29