English

New link invariants and Polynomials (II), unoriented case

Geometric Topology 2010-04-14 v1

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 QQ-polynomial.

Keywords

Cite

@article{arxiv.1004.2087,
  title  = {New link invariants and Polynomials (II), unoriented case},
  author = {Zhiqing Yang and Jifu Xiao},
  journal= {arXiv preprint arXiv:1004.2087},
  year   = {2010}
}

Comments

20pages, 8 figures

R2 v1 2026-06-21T15:09:38.375Z