论文标题
非偏smisimple 3个manifold不变式衍生自Kauffman支架
Non-Semisimple 3-Manifold Invariants Derived From the Kauffman Bracket
论文作者
论文摘要
我们使用基于temperley-lieb代数和kauffman支架的小量子方法恢复了与$ \ mathfrak {sl} _2 $相关的封闭封闭的3个maniforts的非偏鼻涕量子不变的家族。这些不变的人可以被理解为Witten-Reshetikhin-Turaev不变的一阶扩展，在我们的方法中，可以根据我们的方法进行重新制定。
We recover the family of non-semisimple quantum invariants of closed oriented 3-manifolds associated with the small quantum group of $\mathfrak{sl}_2$ using purely combinatorial methods based on Temperley-Lieb algebras and Kauffman bracket polynomials. These invariants can be understood as a first-order extension of Witten-Reshetikhin-Turaev invariants, which can be reformulated following our approach in the case of rational homology spheres.
