论文标题
缠结的多变量仿射指数多项式
The multi-variable Affine Index Polynomial for tangles
论文作者
论文摘要
作者在先前的工作中定义了多变量仿射指数多项式。此简短说明的目的是更新定义，以便可以将其推广到虚拟缠结，并表明它与缠结分解兼容。我们还介绍了Turaev的虚拟缠结动作，并讨论如何作为同源性类的交叉配对来恢复每个交叉的重量。
The multi-variable affine index polynomial was defined by the author in previous work. The aim of this short note is to update the definition so it is generalizable to virtual tangles and to show it is compatible with tangle decomposition. We also introduce the Turaev moves for virtual tangles, and discuss how to recover the weight of each crossing as an intersection pairing of homology classes.
