1. LONG VIRTUAL KNOTS AND THEIR INVARIANTS.
- Author
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MANTUROV, VASSILY O.
- Subjects
- *
KNOT theory , *CHARTS, diagrams, etc. , *GRAPHIC methods , *INVARIANTS (Mathematics) , *LOW-dimensional topology , *MATHEMATICS - 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. [ABSTRACT FROM AUTHOR]
- Published
- 2004
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