1. A NOTE ON NON-CLASSICAL VIRTUAL KNOTS.
- Author
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KISHINO, TOSHIMASA and SATOH, SHIN
- Subjects
- *
KNOT theory , *INVARIANTS (Mathematics) , *POLYNOMIALS , *ALGORITHMS , *LOW-dimensional topology , *MATHEMATICS - Abstract
The first aim of this paper is to give an example of a virtual knot which vanishes all the known invariants and to show that it is a non-classical (in particular, non-trivial) knot. The second is to study some properties of the Z-polynomial of a virtual knot with virtual crossing number one and to show that there are infinitely many virtual knots with virtual crossing number two. [ABSTRACT FROM AUTHOR]
- Published
- 2004
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