论文标题
突变结的差异及其差分扩展
Difference of mutant knot invariants and their differential expansion
论文作者
论文摘要
我们评估了Homfly-pt不变性的差异,这些突变结对颜色为$ sl(n)$,它们足够大,可以区分它们。这些突变型对包括椒盐脆饼突变体,至少需要代表,并标记为年轻图$ [4,2] $。我们讨论了差异的差异膨胀,在突变体的情况下,它是非零缺陷的。在这种情况下,最有效的技术工具原来是标准的Reshetikhin-Turaev方法。
We evaluate the differences of HOMFLY-PT invariants for pairs of mutant knots colored with representations of $SL(N)$, which are large enough to distinguish between them. These mutant pairs include the pretzel mutants, which require at least the representation, labeled by the Young diagram $[4,2]$. We discuss the differential expansion for the differences, it is non-trivial in the case of mutants, which have the non-zero defect. The most effective technical tool, in this case, turns out to be the standard Reshetikhin-Turaev approach.