Title : On Miyazawa's invariants for virtual links
Speaker : Naoko Kamada (Osaka City University)
Abstract :

Y. Miyazawa introduced a polynomial invariant for a virtual link at the regional conference in Yamagata, Japan, on January 2004. It is valued in ${\bf Z}[A,A^{-1}]+ {\bf Z}[A,A^{-1}] h$. The Jones polynomial ($f$-polynomial) is obtained from Miyazawa's polynomial by substituting $1$ for $h$. The $f$-polynomial for a virtual link diagram is defined from the Kauffman bracket polynomial by normalizing writhe effects. Miyazawa's polynomial is defined from a modification of Kauffman bracket for a magnetic graph diagram. We discuss the feature of Miyazawa's polynomials.

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