New link invariants and Polynomials (II), unoriented case

Zhiqing Yang; Jifu Xiao

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arXiv · 1004.2087

New link invariants and Polynomials (II), unoriented case

Zhiqing Yang·Jifu Xiao

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Abstract

Given any unoriented link diagram, a group of new knot invariants are constructed. Each of them satisfies a generalized 4 term skein relation. The coefficients of each invariant is from a commutative ring. Homomorphisms and representations of such a ring defines new link invariants. In this sense, they produce the well-known Kauffman bracket, the Kauffman 2-variable polynomial, and the $Q$-polynomial.

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BibTeX RIS

Zhiqing Yang, Jifu Xiao. 2010-04-13. New link invariants and Polynomials (II), unoriented case. https://arxiv.org/abs/1004.2087

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