An index of an enhanced state of a virtual link diagram and Miyazawa polynomials

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概要

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• We construct a polynomial invariant of a virtual magnetic graph diagram by defining an index of an enhanced state. For a virtual link diagram, it equals the Miyazawa polynomial and then the maximal degree on $t$ of the polynomials not only gives a lower bound of the real crossing number but also that of the virtual crossing number. Moreover, by definition we can calculate the polynomial for a link in a thickened surface or a Gauss chord diagram directly without transforming it into a virtual kink diagram.

• 広島大学の論文

著者

• Kamada Naoko

  Advanced Mathematical Institute Osaka City University

関連論文

• An index of an enhanced state of a virtual link diagram and Miyazawa polynomials

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