Invariants of links of Conway type

作者: Jozef H. Przytycki , Pawel Traczyk

DOI:

关键词: Type (model theory)PolynomialInvariant (mathematics)Property (philosophy)MathematicsCombinatorial methodIsotopyAlgebra over a fieldGeneralizationCombinatorics

摘要: The purpose of this paper is to present a certain combinatorial method constructing invariants isotopy classes oriented tame links. This arises as generalization the known polynomial Conway and Jones. These have one striking common feature. If L+, L- L0 are diagrams links which identical, except near crossing point (as in or Jones polynomials), then an invariant w(L) has property: w(L+) uniquely determined by w(L-) w(L0), also w(L0). To formalize property we introduce concept algebra quasi algebra. now almost 32 years old it contains PT contribution HOMFLYPT polynomial. We believe should be available arXiv.

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