论文标题
在伴随扭曲结的伴随reidemister扭转上消失的身份
A vanishing identity on adjoint Reidemeister torsions of twist knots
论文作者
论文摘要
对于带有圆环边界的紧凑方向的3个manifold，伴随的reidemister扭转定义为$ \ mathrm {sl} _2（\ mathbb {c}）$的函数 - 根据选择边界曲线的选择。在合理的假设下，猜想伴随扭转满足了某种类型的消失身份。在本文中，我们证明了通过使用Jacobi的残基定理，该猜想适用于所有双曲线扭结外部。
For a compact oriented 3-manifold with torus boundary the adjoint Reidemeister torsion is defined as a function on the $\mathrm{SL}_2(\mathbb{C})$-character variety depending on a choice of a boundary curve. Under reasonable assumptions, it is conjectured that the adjoint torsion satisfies a certain type of vanishing identities. In this paper, we prove that the conjecture holds for all hyperbolic twist knot exteriors by using Jacobi's residue theorem.
