Enhanced Kauffman bracket

Zhiqing Yang

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arXiv · 1702.03391

Enhanced Kauffman bracket

Zhiqing Yang

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Abstract

S. Nelson, M. Orrison, V. Rivera {\cite{S}} modified Kauffman's construction of bracket. Their invariant $\Phi^{\beta}_X$ takes value in a finite ring $Z_2[t]/(1+t+t^3)$. In this paper, the author generalizes this invariant. The new invariant takes value in a polynomial ring. Furthermore, for a tricolorable link diagram, the author gives a bracket invariant which gives lower bound on number of crossings with different (same) colors.

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Zhiqing Yang. 2017-02-11. Enhanced Kauffman bracket. https://arxiv.org/abs/1702.03391

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