New link invariants and Polynomials (II), unoriented case

Details New link invariants and Polynomials (II), unoriented case New link invariants and Polynomials (II), unoriented case

2010-04-13

arxiv.org/abs/1004.2087v1

Mathematics

Geometric Topology

20pages, 8 figures

Scientific paper

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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