A polynomial invariant of virtual knots

Details A polynomial invariant of virtual knots A polynomial invariant of virtual knots

2012-02-17

arxiv.org/abs/1202.3850v1

Mathematics

Geometric Topology

11 pages, 16 figures

Scientific paper

The aim of this paper is to introduce a polynomial invariant $f_K(t)$ for
virtual knots. We show that $f_K(t)$ can be used to distinguish some virtual
knot from its inverse and mirror image. The behavior of $f_K(t)$ under
connected sum is also given. Finally we discuss which kind of polynomial can be
realized as $f_K(t)$ for some virtual knot $K$.

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