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arxiv: 1606.03224 · v8 · pith:NI4Z3ZTPnew · submitted 2016-06-10 · 🧮 math.GT

On the Alexander polynomial of links in lens spaces

classification 🧮 math.GT
keywords alexanderlenspolynomialspaceslinkscertainclassicalcutting
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We show how the Alexander polynomial of links in lens spaces is related to the classical Alexander polynomial of a link in the 3-sphere, obtained by cutting out the exceptional lens space fibre. It follows from these relationship that a certain normalization of the Alexander polynomial satisfies a skein relation in lens spaces.

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