Amphicheiral links with special properties, I
classification
🧮 math.GT
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amphicheiralalexanderalgebraicallycomponent-preservinglyconditionsconjecturelinksnecessary
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We provide necessary conditions for the Alexander polynomials of algebraically split component-preservingly amphicheiral links. We raise a conjecture that the Alexander polynomial of an algebraically split component-preservingly amphicheiral link with even components is zero. Our necessary conditions and some examples support the conjecture.
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