论文标题
通过沿圆环的手术获得的三个manifolds的量子不变性
Quantum invariants of three-manifolds obtained by surgeries along torus knots
论文作者
论文摘要
我们研究了Witten-Reshetikhin-turaev的渐近行为与$ n $ th unity的平方与奇数$ n $的平方相关，用于沿圆环结的dehn手术获得的塞弗特纤维纤维空间。我们表明，它可以描述为Chern-Simons不变的和扭曲的雷德氏扭转的总和，这既与基本组的表示形式相关，又是二维复杂特殊线性群。
We study the asymptotic behavior of the Witten-Reshetikhin-Turaev invariant associated with the square of the $n$-th root of unity with odd $n$ for a Seifert fibered space obtained by an integral Dehn surgery along a torus knot. We show that it can be described as a sum of the Chern-Simons invariants and the twisted Reidemeister torsions both associated with representations of the fundamental group to the two-dimensional complex special linear group.
