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Titlebook: Knots, Low-Dimensional Topology and Applications; Knots in Hellas, Int Colin C. Adams,Cameron McA. Gordon,Radmila Sazdano Conference procee

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,Knot Theory: From Fox 3-Colorings of Links to Yang–Baxter Homology and Khovanov Homology,logy to Khovanov homology we build homology of distributive structures (including homology of Fox colorings) and generalize it to homology of Yang–Baxter operators. We speculate, with supporting evidence, on co-cycle invariants of knots coming from Yang–Baxter homology. Here the work of Fenn–Rourke–
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Identity Theorem for Pro-,-groups,ider the problems of pro-.-groups theory through the prism of Tannaka duality, concentrating on the category of representations. In particular we attach special importance to the existence of identities in free pro-.-groups (“conjurings”).
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,From the Framisation of the Temperley–Lieb Algebra to the Jones Polynomial: An Algebraic Approach,ey–Lieb algebras. We use this result to obtain a closed combinatorial formula for the invariants for classical links obtained from a Markov trace on the Framisation of the Temperley–Lieb algebra. For a given link ., this formula involves the Jones polynomials of all sublinks of ., as well as linking numbers.
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Knot Invariants in Lens Spaces,omial of links in lens spaces, which we represent by mixed link diagrams. These invariants generalize the corresponding knot polynomials in the classical case. We compare the invariants by means of the ability to distinguish between some difficult cases of knots with certain symmetries.
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978-3-030-16033-3Springer Nature Switzerland AG 2019
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