论文标题
连接的车把之和的Kauffman支架绞线模块：反例
Kauffman Bracket Skein Module of the Connected Sum of Handlebodies: A Counterexample
论文作者
论文摘要
在本文中，我们反驳了一个二十二年的定理，内容涉及两个手柄的连接总和的Kauffman支架绞线模块的结构。我们通过分析手柄中的压缩光盘上的手柄滑块来实现这一目标。我们发现，当其中一个不是牢固的圆环时，与先前预测的相互连接的手柄总和的Kauffman支架绞线模块相比。此外，我们推测了两个固体Tori的连接总和的Kauffman支架绞线模块的结构。
In this paper we disprove a twenty-two year old theorem about the structure of the Kauffman bracket skein module of the connected sum of two handlebodies. We achieve this by analysing handle slidings on compressing discs in a handlebody. We find more relations than previously predicted for the Kauffman bracket skein module of the connected sum of handlebodies, when one of them is not a solid torus. Additionally, we speculate on the structure of the Kauffman bracket skein module of the connected sum of two solid tori.
