论文标题
关于镜头太空结的Changemaker Lattices和Alexander多项式的注释
A note on changemaker lattices and Alexander polynomials of lens space knots
论文作者
论文摘要
我们提供了使用Changemaker Lattices技术的最新定理的替代证明。具体而言,对于$ k \ subset S^3 $一个非平凡的结,带有镜头太空手术的非平凡结,当$ t^{g(k)-2} $ un-δ_k(t)$ non-零时,我们对$ k $的亚历山大多项式和镜头太空手术给出了约束。
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 $Δ_K(T)$ is non-zero.