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arxiv: 1904.08026 · v1 · pith:6NJTDDLEnew · submitted 2019-04-17 · 🧮 math.GT

Twisted Alexander polynomials of torus links

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keywords alexandertwistedpolynomialtoruscharacterconstantdimensionaldiscuss
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In this paper we give an explicit formula for the twisted Alexander polynomial of any torus link and show that it is a locally constant function on the $SL(2, \mathbb C)$-character variety. We also discuss similar things for the higher dimensional twisted Alexander polynomial and the Reidemeister torsion.

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