Journal of Applied Mathematics & Bioinformatics

Lie Ring of 4−move Invariant Group R4(L) and Kawauchi’s 4−move Conjecture

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  • Abstract

    We study the invariants of 4−move defined in [5], and calculate Lie ring of the group R4(L) in response to the question proposed by Kawauchi [8], are link- homotopic links 4-move equivalent? We test the strength of the invariant R4(L) = š1(SL)/N over the nth Burnside group of links and then apply it on link ”L”, motivated by Askitas knot and propose it as a potential counter example to Kawauchi’s question.