论文标题
无定向表面链接的自行车模块不变
Bikei Module Invariants of Unoriented Surface-Links
论文作者
论文摘要
我们将以前的工作从Arxiv：1903.06863扩展到了使用Bikei模块的无定向的表面链接的情况下，在双向表面链接的双Quandle模块上扩展了。由此产生的无限型不变性家族证明，有效地区分无定向，尤其是不可定向的表面链接。特别是，我们表明这些不变性比仅在区分不可定向的表面链接方面单独使用的比基人源下基数不变性更有效。此外，作为另一个应用程序，我们注意到，我们以前不满足的Bikei模块公理的Biquandle模块能够区分定向表面链接以及经典和虚拟链接的不同方向选择。
We extend our previous work from arXiv:1903.06863 on biquandle module invariants of oriented surface-links to the case of unoriented surface-links using bikei modules. The resulting infinite family of enhanced invariants proves be effective at distinguishing unoriented and especially non-orientable surface-links; in particular, we show that these invariants are more effective than the bikei homset cardinality invariant alone at distinguishing non-orientable surface-links. Moreover, as another application we note that our previous biquandle modules which do not satisfy the bikei module axioms are capable of distinguishing different choices of orientation for orientable surface-links as well as classical and virtual links.
