A note on changemaker lattices and Alexander polynomials of lens space knots

Jacob Caudell

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arXiv · 2007.11039

A note on changemaker lattices and Alexander polynomials of lens space knots

Jacob Caudell

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Abstract

We give an alternative proof of a recent theorem of Tange using the technology of changemaker lattices. Specifically, for $K\subset S^3$ a non-trivial knot with a lens space surgery, we give constraints on the Alexander polynomial of $K$ and the lens space surgery when the coefficient of $T^{g(K)-2}$ in $\Delta_K(T)$ is non-zero.

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Jacob Caudell. 2020-07-21. A note on changemaker lattices and Alexander polynomials of lens space knots. https://arxiv.org/abs/2007.11039

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